{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 第三题\n",
    "3.试采用核映射SVM方法对“癌症患者生存期”数据集进行分类。给出具体代码，以及训练和测试的准确率结果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-29T03:07:47.266384Z",
     "start_time": "2019-12-29T03:07:46.144410Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[47, 66,  0,  1],\n",
       "       [69, 65,  0,  1],\n",
       "       [36, 69,  0,  1],\n",
       "       ...,\n",
       "       [46, 62,  5,  2],\n",
       "       [43, 63,  2,  1],\n",
       "       [61, 68,  0,  1]])"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 数据读入\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import torch\n",
    "from sklearn import preprocessing\n",
    "with open('haberman.data') as f:\n",
    "    raw_data = [line.strip().split(',') for line in f.readlines()]\n",
    "np.random.seed(666)\n",
    "raw_data = np.array(raw_data, dtype=np.int)\n",
    "N_SAMPLES = raw_data.shape[0]\n",
    "indices = np.arange(N_SAMPLES)\n",
    "np.random.shuffle(indices)\n",
    "raw_data = raw_data[indices]\n",
    "raw_data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 解决方法\n",
    "线性支持向量机问题的对偶表达式为：\n",
    "原始优化问题转化为参数 $a$ 的极值问题\n",
    "$$A(\\alpha)=\\sum_{i=1}^{n} \\alpha_{i}-\\frac{1}{2} \\sum_{i=1}^{n} \\sum_{j=1}^{n} \\alpha_{i} \\alpha_{j} y_{i} y_{j} X_{i} X_{j}$$\n",
    "\n",
    "$$st. \\sum_{i=1}^{n} \\alpha_{i} y_{i}=0\\left(\\alpha_{i} \\geq 0, i=1,2, \\quad n\\right)$$\n",
    "\n",
    "$$y_{i} \\in\\{+1,-1\\}$$\n",
    "\n",
    "**使用梯度的优化方法，直接最大化对偶优化问题 $max A(\\alpha$)**\n",
    "\n",
    "在前述方程里的核函数是点积，$x_i·x_j$，其为线性核函数。该核函数是以数据点（i，j）的点积填充的方阵。\n",
    "\n",
    "替代数据点间的点积，可以将其扩展到更复杂的函数更高维度。这看似不怎么复杂，但是如果选择函数 k，其需满足如下条件：\n",
    "$$k\\left(x_{i}, x_{j}\\right)=\\varphi\\left(x_{i}\\right) \\cdot \\varphi\\left(x_{j}\\right)$$\n",
    "\n",
    "高斯核$$ k\\left(x_{i}, x_{j}\\right)=e^{-y}\\left\\|x_{i}-x_{j}\\right\\|^{2} $$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 或者参考论文 **Pegasos primal estimated sub-gradient solver** 的优化公式也是可以的\n",
    "$$\n",
    "\\begin{array}{c}\n",
    "{\\operatorname{argmin} \\frac{\\lambda}{2} \\sum_{i, j} \\alpha_{i} \\alpha_{j} K\\left(x_{i}, x_{j}\\right)+\\frac{1}{N} \\sum_{i} \\max \\left\\{0,1-y_{i} \\sum_{j} \\alpha_{j} K\\left(x_{i}, x_{j}\\right)\\right\\}, \\alpha \\geq 0} \\\\\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 预测函数\n",
    "$${\\text { predict }: y=\\sum \\alpha_{i} y_{i} K\\left(x, x_{i}\\right)}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-29T03:07:47.275895Z",
     "start_time": "2019-12-29T03:07:47.267381Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.43313103e-16 3.84587061e-16 1.11747938e-16] [1. 1. 1.]\n"
     ]
    }
   ],
   "source": [
    "x, y = raw_data[:, :-1], raw_data[:, -1] # 数据归一化\n",
    "x = preprocessing.scale(x)\n",
    "print(x.mean(0), x.std(0))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-29T03:07:47.453420Z",
     "start_time": "2019-12-29T03:07:47.276891Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hCOJEw9wyLOh33AhTuVzGcDgce0M0boRJFMXAI0xhydLok6IooX7W7VgXi0WIoghRFLG+vh5JmxQPOTpRksvlIhFqwpDP51EulwM/rXcTdxRFOebe4TV3hxw16UGOmvTRNG1knJQRhXvH/muv7B3geIveuOsDL+4dqkYniJMNCTUEQZwYJrUwsRsWr6evpVJpRPxIYoQpLFlx1BQKBfT7fV9/VpblifXYcdx05vP5mRJq8vl8IIdQ2uRyOStU2S9+apBZVbr9OuD3SX2xWKQFTkYgR0362EctpyVs9o6Xm0+SJHQ6Hc/snUnXBLvgw6N7x/nnXn31VVy6dGnk9ShcmSD4hIQagiBmEqcoE0ULk2maGAwGePXVV11HmC5duuT61DANisUil7XXTgRBcN1Pez12u93GYDBAuVyeWI8d1z7OklCTpqMmKcIs5uyhynYhR9M0dLvdY1XpfnI22Jf9zxPJQo4aAgjv5mPnvVP4HRe07rwm8OLeYfttD5JnTBuuTNXoBBE9fKwoCIIgpsStgWnaFqZOp2M5ZdgIk6ZpqNfriY0whSVLo0+apmEwGHjWY1++fBm1Wi21Yz1rQk3WHDVJYQ9VDoKfnI1Op4Mf/OAHI4sWv84dEhmmgxw16ZJlgTIO90632w09rjmte0dRlBGhKqpw5Wmr0QEKVyYIN0ioIQgic/ipxga8R5jctjcYDCxRxj7CJIriyAjT008/jXPnzsXy94qSqAJj48Bej31wcIBOpwNN0zzrsdPGy/XjBe83lSfBUZMkfnI2XnzxRWxtbaFWqwGA1SDnXMjJsuy5kKNQ5XAYhkHHIkVOolCWhHuHYReTJl0fZFkONELqRRTjWVFWo9v/DIUrE7MEP3fCBEEQLsQxwqSqqiXItNttyLKMWq0GURQnjjCxvBJ6yu0PVo/NnDLOeuylpSW88sorePvb3572rnoiCEKgwGPeg2PJUZM++Xw+stwdVVXR7/c9F3I8hSqnAS3a0mU4HCY2ppplknDvKIoC0zTRarVSy95x/noSYavRgePhyuTeIbIGCTUEQXCDWzV2lCNM7XYbvV4PhUIBoiii0WgEHmFigcJZEWqSFg1YPTYTZibVY2uaxv1YUZgwYZ7FGnLUJE8U74dpc3fcFnLjMjZKpRIKhYL132Kx6Prrk+aWIILh1fhEREMQ987169dRrVZx5syZ0NcFP86dYrE44naZhqjDlb2uxez7XuNZ7Do3LmCZIKKGrpwEQaRGnCNM7XYbnU4HhmFgYWEBjUbDagaaZmFRLBahqioqlUrobSQFc07EJSrZ67GZCFYsvlmPfeHChYk3j1nIfwmyj+ymjWchhBw1Jwd77k61WvX9c16LOGcduqZp1nspn88HGs0iTgbkqOEHVVUhimLo64LTvcMcfm4jm5Oas9yuFVEJv9O6d9jfNWw1up8GraD7RpxMSKghCCIRvKqxb968iUqlgqWlpdAjTMy9Icsy5ubm0Gg0cPbs2ViyTkqlElRVjXSbccEChaNaFI2rx97a2gpVj52FGxVBEGZK2OBdSJpFeHZYucFyd4II0n7qj52LuCRyd+i9ni7kqOEHRVGmyqgJm73jJfzKsnxsnJPBHITjrg/s96LK5Aoj8Li5d4Jcc1qtFpaWlqganXCFrpwEQUSO2wiTV64M8EAAmPQUhY0wMZHAOcK0traWiMuFjT5lASbUhDkuznrsfr+PSqWSSj122mTB9ROEXC43U8ITwQfTBKiyynOWuaOqquXeYb9vf7pNocrZgRw1/KCqaqDzMwrIveOOaZpQFAU3b97E4uJiJNXo3/zmN/HBD36QHIszBAk1BEFMjZ8RJi+nTLlcRrfbPbY9+wjT0dERTNO0Rpi2trYwNzeXSjYCG33KAqz6ehJuxxvgpx47bYJm1PDuWOG5EWxWyZqjJinizt1hNenPPvvsxPDUqBdwxAM0TYukaYiYniwVISTh3rFn7/itRo/SvSPLMqrVaqDrzbhq9N///d/Hhz70oan3jeAHEmoIggiE1wgTI2iuTLlcxr1797C3t2eJBIqioFarxTrCFJZSqWQJGbzDHDVONE2zjnW73YYkSdbIWBr12MzhweviKIijhjm/AHCbx0GOGiLLBHlCr6oqfvCDH+Ctb32r52iWM3fHuYDzI+6w8FTiOMPhEHNzc2nvxonnJIjz07h33Br1xrl3TNO0xBs/Io/b9YEJNUH/jvb/MlRVJZF5BuFj5UMQBJcEGWHy+4RB13UrgJbVNTM7bpIjTGHxEj94hO2r83jb67GXl5cDtV7FQaFQgK7r3N5gjMuoccvtmZubG6lStv/spMUea9KJU9whR03ykKMmHZgAnMvlIs3dGQwGx75nz90JIu7M+vuCMmr4QNM0GkHzgLXcBXF+ebl3NE1zFX8Z9lwuSZJQqVRw8+ZNV7EniHvnjTfewNraWuC/O8E3dOUkCMKCOWV0XY+kGpuN1LBFrNsIU7VaxfPPP48rV67E9deKFN7DhO312Pfu3YOmaVhcXPSsx+YBQRC4volkjhq3lqtSqQRRFHHq1Ckrt4ct2pzniWmanpbsbrcLVVWPPdEH3MWdUqkU+ok+76NZBBEV0456hBm/CPJ0njn1mJDkPK9ZPbr911nL3aGMGj6YNkiYGCUK984rr7xi3ZMpijKSy2W/Pri5d77yla+gVqvh1KlTWFpaws2bN3H27Fk632YMEmoI4oQS9QgT8KZIwEZqVFW1RpjGjdRkaQyDpzDhSfXYtVoNsizj4sWLae/qWPxm6SSNoihot9totVrodrt45plnfLVceS2icrlc4Kd2Xos+tyf648Qd+wJQVVWrops30W5WIUdNOqTxHg/7dN7tPHc71+2f1c7cHebIc/66WCym9v4jRw0fpBEkTBzHfn0wDAPLy8sTzw83987Zs2dx//59vPDCC2i1WnjjjTfQbrfx2GOPWfdTgiBgcXERp06dsr5+5md+Bo899liofX/55ZfxK7/yK9b/X7t2DX/0R3+ET37yk6G2R0yGrpwEcQJwijJRjTB1Oh1LlOn3+ygWi9ZIDe8jTGEpFAqpCTVB67EPDg6OBTXzCA9CjWEY6PV6aLVarm6Zg4MDvPe97/W9vagW5mEWfXZxx+7SYQs+VpW8v79vLfiCjmsQRBbISnhq1KHKsiwfG8dIK3dnOBySUMMB5KjhD78ippt752Mf+9jIn/nMZz6DX/qlX8IHP/hB63vD4RCtVgsHBwfWV71eD72/V65cwXe+8x0AD66tKysrePzxx0Nvj5gMXTkJYgZxa2CadoSp3+9b40v2ESZRFLG9ve3pLvADG33Jws1cUk8lo6jHLhaLqQsgfkij/to+ItZut6FpGur1OkRRxObmJubn50f+rV955ZVE928a7OKOW4jn3bt3oSgKLly4YH2PiTt2YWeSc8ePuMOe6p90cYccNekwy66xsKMXuq6PnOvs1/1+/1hVepjcHTdhbFb/DbKEqqoz+fAsq0R9bbp27dox93SxWMSZM2dw5syZyF6H8fWvfx3b29sj9xFE9PC/KiIIYixOp8ze3h7q9br15CTKESZRFGNpBSqVSlAUJRNCDSPKhVdc9dhZCT6O21FjmuaxEbFCoWCNiG1sbET6pJH3BblbmHBY547foFW/4o49j4MWd8S0ZMVRkyQsVDls7o5dyJEkaWzuTqFQgCRJePnllyeKO7xfN7OOoihYWFhIezeIHyPLcqTC2Z07d7C6uhrZ9ibxt3/7t/i1X/u1xF7vpJKdVRFBEL5GmPb29pDL5Xx/APAwwlQul6GqamYqPJkDJKywNBwOLWdSnPXYJ1WoUVXVOrZMaKzX62g2m9jY2EC9Xj/RIgDLp4liO2GCVt3EHfvTfLeWDD+ByjyLO+SoSYdZdtQkySSXnhssPP3b3/42zp07Z53XzL3jlbszqerYfr7TOeUfyqjhC0mSAldze8HWAkk97FRVFU888QQ+97nPJfJ6JxkSagiCU9yqsf2MMFUqFSiK4rlN5wgTACvnZNoRprCUy2XPfeYR1vzk50PRNE30er1U6rHTGCkKwzT7aT++7XYb3W4XgiBYbpn19fXIbk5nZbGdZutTVOKOqqoTK1DHNWTZv2bh35Rwhxw16cHuTUqlEhqNhq+fGZe7I0nSsdwd9jPOUOVx4s5JFe4URSGhhiNYNXcU3LlzB+fPn0/ss+wf/uEf8I53vANnz55N5PVOMiTUEAQnuDllwrQwVSoVSJIE4MEHs925EfcIU1h4r7x2Ms6pYs8+OTo6stwcadRjZ2UBWigUfAt1w+FwJFuGHV8myszPz8dyfKd1UfFELpfLVNNaGHGH5XA4A5UniTuTRJ2w4s6siHxZgxw16RI0e26a3B03ccftfA8aqlwoFGZC7CPRki9kWcbi4mIk27p27Rq2trYi2ZYf/uZv/obGnhIi+3ecBJFBJlVjA+FbmFqtFvb393Hnzh0Uiw+qmhuNBtctTOVy2XL3ZAEmLE2qx75w4QI9wfKB1+gTc4Cx49vpdCAIQirNYoIg+BY3eF+Qu2XUzBphcjicIatuiz2Wz8EYt9hjQcqlUmnmjzevzIq4mlWGw2GgJquwsPM9yOdBkIwte6gyO6eZiONVic5T7g5df/gjytGn3d1dbG9vR7KtSQwGA3zta1/Dl770pURe76RDn14EETNuI0zTVmPbR5jYAhZ4ED5brVZRrVbxzne+k5ubhElkZfTJXo999+5dFAqFsfXYvMD703zmVtE0bcQtoygK5ubmIIpi4m4kr32cBdIcfeKZsOLOuCf5TPTp9/t4/vnnrdfxm7nD83mbBQzDIBdBivDc5hjGqcdyd5xfiqIcc+/YPy/Szt3h+d/hpCLLcmQP8nZ3d/FTP/VTkWxrErVaDQcHB4m8FkFCDUFEjp8RpiCiDPDmCJN9nIaFz54/fx5XrlyxPoR1Xce9e/cydYPP4+jTuHrshYUFnDp1KrEnGNPAxrSibDWKArtbZm9vD4eHh+h0Omg0Gmg2m1hdXeXKAZbP52dGqIkqTJjw/yT/ueees8Rzp7jDXDqdTudYBgf77HCKO14jWiTujKLrOo0+pUhSjpqkYOORQT5PTdO0xjDd3Dt2F5/dXe03d8fPKCYFCfMFWydEdW3a3d3Fb/7mb0ayLYIvSKghiCnwGmFiT6zDVGPbBYKjoyP0+30rjK/RaEwcpwkyosELaTtqgtZj7+3todVqpba/QWBjRWkLNZqmjTQxsaYrURRx/vx5GIaBhx9+ONV9HEdQRw3Pi2Vy1KRLmDENu7hjH82aFLBqH786ie055KhJF3JyjAab+4XdUzIRl53zmqah2+0eq0qflLujKAoMw7DGs4vFIgmYKaJpWqQC5o0bNzLx4JAIzsm+ehJEAIKOMPm58bW7ClgjEPBAIGg0Grh48SLm5uYC30Q7hSLeSTozY9p67FKplInaayCdim4mfNmzZXK5nGfT1XA4xI0bNxLdx6BkUQD1ghw16TDN9TiouGNf6PlpzwlSjVwqlbjK3xgHOWrSZTgcolarpb0bmSOXy0EQhMAZJl65O/1+H6qq4o033hgJVWb3iX6dOyR6RkOUjU+maUJRFK4cyER0kFBDEB6wDzFd131XY09i3AjT8vIydnZ2IvkgZA6VrF244xCXxtVjN5vNUPXYxWKRu1EtL5IQapxuGVmWrXYxP+9rQRBcw4R5IsjoE+8LWHLUzD72hZ7fxZ7famRVVUfOhXEjGnYnTxriDjlq0oUcNcnilbujaRrK5TLOnTt37GcMw3AdzZJlGd1u91juDjuH/ebuZEXUTRJZliMLEm61Wmg0GnSMZxS6ehIEvEeYfvSjH2F1dRVzc3MAphth6vV6KJfLlqsgzkagLAo1bERnWjtoEvXYPGbqeOHVqBQW0zQhSdLIMQZgva/Pnz+ParUa6KYhCy1EsxQmTI4awolyBBy9LqBUz6Ox6b8aeZy445a/wXDL3HEb0Zp2kUf13Okyaxk1WUVVVSwsLLj+Xj6fjyx3R1VV9Pv9Y+JOEMferI9jAtltfCKSh4Qa4sThFGUmjTDJsox6vT5xm3GMMIWlUqlAlmU0Go1EXi8KSqUSFEUJdFOXVj12lhbt0zpqdF0fccsMBgPLLXPu3DlcuSSykAAAACAASURBVHLlRDyxztK/+STIUUPYOXwlh29+ugJNAgwduPgLGh7+vSH8fFyxuuJCYTpxh4k5zmpkN3FnXN6OU9zRdf1EXJ94hRw1fKAoSqT3QmFzd/w49uxZW8Dx3B23enT266yIspIkQRTFSLZ17do1bG1tRbItgj/o6knMPG4NTH5HmKrVKiRJOvZ9RVEsUabdbmM4HMYywhQWJtRkiXK5PNGlYq/HPjo6gq7rqdRjZ+lJT7FY9P1eME1z5Bi3220Ab7pldnZ2ArtlZgXKqCFmlWc+X4ahAbUzJkwDeOX/K2D1fTrOPRzPe2QacccZrur1BJ8xGAzwwx/+EOVymcYzUoAcNXygKErqhQJhznsAnuKOsw5d0zQYhmHdz9uFHObkcft1GvfqUTtq3vKWt0SyLYI/SKghZgo/1diA/xGmSqWCw8NDHB4eWqJMv99PbIQpLOVyGYeHh2nvRiCczU/j6rGXlpawvb2d+g1gFgKbC4WCp6PGeYwHg4F1jM+cOYNLly4l+jSU5+PpJ6OGCV2tVgudTmfkhpCnRSE5agg73Zs51M48eD/k8kAuBwz2+DoP7Ys8v5imieeeew4XL170NZ7B8BuonM/nub1e8QI5mvhA1/XMOpvCtOR5hSo7HXvD4dB6aMGuMUnk7kQpYF6/fh2/+Iu/GMm2CP7I5llLEPDOlbETNPCXBc/aRz0URYGu6xBFEZcuXUp0hCkslUol1brroLB/x/v376PVao3knjQajWP12DwQVaZO3NhHn5zZMqZpelaQJw0bLeL1ZlIQhGOOL8MwPMXE+fl560nguHEOLzHH+b0oLd25XI4cNYTFqYcMHLyUx9w5E7oKwAQaG9kX8ti1LEjr0KTsDXuLFnsQNG6B5ybSnjR4+tw+iZxEUd4rVHkc7Nxnrj123quqarl32O/bz/1xYepuuTvs56I6L65du4ZLly5Fsi2CP/i8IyYIB0Grsf0iy/JICxMbYRJFESsrK7h06RK+853vZM5WyPvok7MeW5ZlCIKAfD6PtbW1TOSesEBhXoUaJiLcu3cPe3t7eOqpp1AulyGKIk6fPp24W2YShUIhE0LN/fv30W630Wq1rNG7ZrM5kkNlmiZUVZ14LXIuCtkikLVt2BeF7BroVaXqJvR4vT4tnAg7j35Gxb/9QRndGzkgB7zjd4c4tTMbQl7Q93rY7A0vccc5nmG/b3GKO17ZO7x/FhJ8w/PnKk8klbtjGAYURcELL7zgS9wZ95CGPVzOUh4lEQw6cwku8TPCFFSU0TQNnU7HEgcGgwFKpRJEUUSz2cTGxoar+p7FANGom36mwa0eWxAEa3SM1WN3u128/vrrWFxcTHuXfVEqlWKvvQ6CW37PwsIC6vU6KpUKHnnkEa4X6Kyim5cxQntAeKvVQqvVshpkRFHExsbG2Jl/P8c6zI2hl6XbuSC0vzftYYxsMTgcDrG/vz/yvbRHsoh0mDtr4sNfkiG3cijWTBT9G1AIRCfuqKrqWYnMXmecA483cYflhRDpwkM+zawSJnfn8PAQe3t7uHDhQqDP8VwuhyeeeAI/+tGP0Gw2sbi4iEajAcMw8G//9m84deqU9cXLfRQxPSTUEKmTxAhTt9sF8OYoTdARpqxVfLKn+mlkfnjVY4uiiLW1NczPz7seyyxVXgMPRorS2l/WdtVqtUZyk9zyewzDwJ07d7i/YU5bXGTtVuyYSpJkvW/X19exsrKCu3fv4vLly762F9e5F8bSbX/ix1w6pmmi0+mMfM/ZsDNpHIuXBSExPXkBqC2dvBGJtJhG3LE77ewOPC/njp+8nThCVanxiQ9UVaWFO0fIsoxarYZKpRI4d2dlZQU3b97E3t4e9vb2cO3aNZTLZTzxxBM4ODjA/v4+Dg4OrHtTQRCwuLiI973vffjsZz8bep/b7TY+/vGP48UXX0Qul8Nf/uVf4tFHHw29PcI/dAUlEiWtEaaFhYXQNyEs7yWqhPakSCJDJcp67KwJNUnuL2sZY1/2tqvt7e2xbVf5fD4TM+rMUZMULPTXrd2Kubzsx7Tb7QZy19ln0dPGLYzxxo0bnpWeYUc5xo1wZLFClcg+Wbj2+SWsuOPmwHOKOyx3g12vJgk7frKzqPGJD6Ku5iamQ5KkUKNK+Xwe58+fx/nz563vPfnkk6hUKviTP/kT15/RNA2tVmvqzMpPfOIT+PCHP4yvfOUrUFUVg8Fgqu0R/iGhhogV5upg9r0g1dheOEeY7G6CcSNMYWEV3VkTalhOTZQ3SnHWY2dFUGAUi8VYApvdxC82ore4uIjNzc2ZtDGzjJo4sB/TVqs1cs3w227lp/WJwYM4Mw1hR7LsAYzOlg379+yv48e1w0IYCSIIWXPCxgE7x4J8ZtjPZWfmhld2FnBc3GFOvlarNfL9k/5vkjSqqs7kPUNWkWUZ586di2Rb165dw8WLFz1/v1Ao4PTp01O9RqfTwb//+7/jy1/+MgAEvp4Q00FCDREZ40aYvv/972NtbQ2NRiPQh7RzhKnT6SCXy4UeYQpDpVKBJEmxbT8umBNofn4+1M97VTc3Go1Y67F5cSFMolQqWSN108BGxZi7Q9d1a+RmWvHLDu/HNcrRp+FwaL1vW60WhsOhFfo7yYHkBWulItzJ5/PWDdzc3Jyvn/EKYWQjWc4QRtM0J2Z02PN2iJMNCTXhsJ/LfnETdw4PD2EYBvb390e+7ybusPErr/Oa/h3DM819IBE9kiQFGnkax/Xr1/HYY49Fsi0vrl27htOnT+NjH/sYvvvd7+Lhhx/GF77wBd+f88R0kFBDhMIpykwaYZqbm4MkSRBFcex23UaY6vU6Go0GVlZW8NBDDyV+A16tVtHv9xN9zSgol8u+m59M08RgMBg59kDy9dgs5DQLan2YMGHDMKxgZZadxEbFms1mbG4ZQRBgGAbXi9ewo0/svctEGRZWzcbv1tfXI3HYsWM4K/DgXnMbyRqHs2GDPdn3qk5muC0A3RaEtBicLXRd5/qaN0u4iTu6rqNarWJ9fd31Zya58JziDnvYMClImc7nUShMmC+ivBfb3d0d66iJAk3T8F//9V/44he/iEceeQSf+MQn8PnPfx5//Md/HOvrEg8goYbwBfuQ1HXdamAKMsJUrVaPzTSyESYmDPT7fcuxEeeiNSjVahX7+/tp70ZgKpWKp8DkVo9dq9UgiiLOnTuXWj02y33h4d99En7ChO3Byu1223J2sNager2eyM1koVDAcDjketFSKBR8jZIxpxdzIA0Gg5E8qqtXr8ZyTIM6alhGDREdYRo2vDI6vBaD7HX85u3w7FI76ZCjJl0mZdSEceExcccZqDxO3LG33k0KVJ7F9wuFCfNDlOKxaZrY398fyayJg9XVVayuruKRRx4BAHzkIx/B5z//+Vhfk3gTEmqIY9idMkyccYoyAAJ9oFWrVdy5cwc3btywKprtI0xJOTbCwDJqskalUsHBwYHvemwejn25XIaiKKjX62nvykScYcLsODMBodfroVAoWMJjkGDlqGFOpajstnFQKBRchUVFUUZCfw3DsI7pzs4OqtVqIu/dXC43U44aHs73JAib0eF07dirU9n37CNZk1qy2AKTKtCTQ9f1mVx4ZwVN0yL/zAk7ljVOrFVV1XL2uIm1boJOlsLR2XWHSJ8ox540TUM+n4/9/Xfu3Dmsra3h5ZdfxpUrV/D1r38dV69ejfU1iTchoYawME3TSv63E7aFiQkDrKJZURQsLi5idXUV8/PzmfngYIvcrMBcHPv7+7h79y7a7bavemweYEJNFjAMA4qi4JVXXkG73R6pIb9w4QJXxznt6ms/MNePvXa82+1aQcpx5iL5YRYX17znFqVF0Ap050iW22JQURS88MILI64sv3k7vFxHsgbv456zDi+tT0HPZ8Bb3HG23tnFHTfnjtu5nYa4Q9d5PpBlObJikhs3bmB1dTWSbU3ii1/8In79138dqqpia2sL//t//+9EXpcgoYawwS7kYVqYmCDjHGGyt9Q89dRT2NjYiGnv44MdCx4XNePqsRcXF3F4eIj3ve99ae+mb3it6La7kpiAwEZhFhYWIstBiQtexUZN06xjure3Zy1qWXvb/Pw8d+fcrMAcQrSQnR4/I1ndbhfveMc7rP93VqAzlw6rTXZr1hn3lN/5PTpvKKMmbTRNm9imxyvTijvMpaOqqqe4w+61JwUpT3NOZ/nfYBaJskF2d3cXW1tbkWxrEm9729vw/PPPJ/JaxCh09hIj5PP5sfZ+tzEaNsIkiiLOnj3rOcLE6m2zeOPEBIS0F+NB67Ffe+21FPc2OOVyGb1eL+3dsDJ8WECtqqpWDsr6+rrllnn66adx5swZ7hdFPAg1pmlCkqSR0N9cLmeF/p46dQqvv/463vrWt6a6n1HB+3sin89Thk6KhK1A9/uUn2F/yj/OuTOLI1mUUZMuvDhqkiKMuKPrumvmzjhxx0/mDvuiIGG+kCRp6rpsxu7uLra3tyPZFsEvJNQQIzhv1OwjTO12G5qmWS1Mq6urWFhY8H0jxLJespA/4oRVdCcp1ERRj82Et6zcrKYx+mSaJvr9vnWcO50O8vm8JSCsrq56zhRnpaUqjdEnwzBGQn/7/b4VWL28vIydnZ0R0VZRFO7Hs4LCowuPQWHH2SPsQtAtb0eSpJHv2UeyJuXtsC/eH7pk6bNvFiE3x2RY813Yc9pL3GGOHvb1rW99a2yQsn0si9fPrFkgytGn3d1d/PzP/3wk2yL4ha6gxAiDwQC3bt06JgzYR5jCUqvVMBgMMinUVKtV31XXYYirHptVdNdqtTh2O3KSGH1io3pMQFAUxXLLBBUfs9JSVSwWY33/Am9mI7HjysbCRFH09f4N2qqUFjyLL0GY5J4kZoMwFej2kSz7ws/5lN/+/vHj2kk6myOrDt5ZgY5/PAQ5p+/evQtFUbC6uuoq7nS73RFHjzMg3c+oJYk7/lEUJbIHvklUcxPpQ0INMYJhGKhUKrhy5UrkLUxMqMkiUTc/JVWPXalUoCjKiRVqmABmd8vYR/VWVlamerpRKpVSHynyQ9SjT87Mnk6nM5KNtLW1FdjyngWhRhAE37kuvN+4kqOGcCPsSBYTd+yuHXurjnMki2VzxLkIpNYn4qTDRvaDCrbAcecOO487nc7I973EnXGZOydR3GGNulH9vW/duoX19fVItkXwCwk1xAgLCwuR2fKc1Go13Lt3L5Ztx021WkW73Q71s2nWYzNHTVaY9hgwtwwTECRJstwybuM201IsFrkMP3Yy7eiT/bi2Wi3LhdRsNkcye6YhCzdtTEyahafE5KghosJemTw3N+frZ7zGN8YtAv22ZLHz0zAMGr1JCRKB+UBRlNAu9jBuPGegsnPU0kvcmRSkPAviTpRj8oZhQNf1E5UBdVKhTzBihDgvgll21LCMGj+wERAmzNhrm5Oux65UKpkSahh+njrYw2md42LNZjNWAYzBa0uVk6COGnvoLzuuLLNneXk5NjGXd1gguh/Y0zNeIUcNkSZhFoFueTuqqqLf748sCpkAqSgKisUiDg8PJ7ZkkfMmWqhRjg+SLMHI5XJTn9f2Lzdxh31mMdF23BdvIelRNj7dv38fp0+f5ubvRsQHCTXECKwuMI4b+DSCYqOCjRA5GVePLYoiLly4kGpTVKVSQbfbTe31w+DVsKXr+ohbZjAYxDIuFnRfsyA+jhNq2HvYHvpbqVSsFrfLly/TU+kfM248i70/2XGUJMm6iXJ7auj166Tew6yemyCygJ8KdCevvfYa5ubmMD8/P7LgYyNZzkYd9jp+83ZokeTNSWt84pUoM1HiIMx57VfcUVUVuq77Enecn8FxnNuSJAUaPRsHNT6dHOjumzhGXEKNfdGStRsctr+SJI2IBYZhjK3HTpusjT4BD8QPRVGg67qrW0YURezs7KBaraZ+rLMy+mQXGOyOL9bkxt7DFy9exNzcXGrHlYkHvD7ddh7HVqtlCTOmaY6MM5bLZaiqatVgG4Yx8tRfVdWxbgDAPaDV+euwC0aq5yZmHdM0A41jAfAc3WBByl6hq35bstL+zEoKanziA03TZs7ZFLW44xRumbjDHEKT3Hh+z202ih8F165dI6HmhEBXUeIYcd5IMOEgC6MTznrsfr+PF198Ec1m03c9dtp4OYF4w3msv/3tb1vjYjy7OngffbJXj0uShKeffhqCIEAURTSbTWxsbHDVWMWydHjaJ+DNUGpJkvDqq69CURQUCgU0m02cOnXK9VpgF1zYDV+1WvV97WMBrU5xx62Cle2jV4aH24KRhJrkoOOcDmHypIJWoAddADL85u3wKlpPghw1/HBSxMFxRCXu2B+wuGXu2MUd57ndbretYpJphdvd3V28+93vDvWzRLbgb+VDpE7cOTVRzmlGhb0diLUxAaP12Pl8HltbW5ifn095b/0zbYhsHJimCVmWR1wdAKwq53PnzqFWq2F1dTXlPZ1M1G1K02IfD2u1WlabWLPZRLFYxHve8x6ub/x5aX4yDAOdTsdyzAwGA8zNzcE0TZw6dQrr6+uxH0d7QKsfxmV4OMUddg4eHh6iWq26LhDtN5k05kFkkSTceWEXgPYKdHauyrKMbrc7Is66jWRNesLPw7lKjpr0mUU3TZJMI+7Yz2F2jg8GAxweHmJvb++YcDsuUFlVVXQ6HZw9exYLCwvI5/PY3d3FRz/60bj+6gRH0FWUOEYSgcKLi4uxvYYfWD02E2bs7UBeeSdMZMqSUAO8OcqW1s2bYRgj42L9fh/VahWiKOLMmTO4dOnSyA3d7du3M+ECAtJ31DDBi4X+2sdvHnrooZHxsDt37qS2n35JS1gcDofWcWy1WtB1HQsLC2g2m7hy5QpqtRpyuRxeffVVVKtV34u/JM+5oDeVr776KkRRHMnvYDeXvV5v5EbT/m/idkPpNprFsyCYNFkc950FeG1oC1uB7ubasYuwzgr0fD7vK28njpEsctSkT5JBwsQD7J/DTu7evYurV68e+75TuLV/Hvf7fbz00kv40pe+hFarBUmSYJomOp0O7t+/j7Nnz+LUqVNYWlqyvuz/v76+Hvrc3tjYwPz8PARBQKFQwPPPPx9qO8R0kFBDJMo0Nddhsddjt9ttdLvdkXrslZUVX+1AzLKYNZjrI6lxEqd4YBiG5Za5dOnSxAyUcrmMTqeTyL5OS5LjI4ZhoNfrWZkovV4P5XIZoiji9OnTxwQvJ7yOFdlJQqixt4Wx96jfcTBeHD9RwISUMGMeznEsv06AcVk7Jym/g0gGnvOughJ0JAuAq8POHrjKvufnyb7b+OQ4eP+sOQkoikL/BpxgGIbn59sk4XZ7exu/8Au/YP2/aZp47LHH8Hd/93c4ODjA/v4+9vf3cXBwgDt37uB73/se9vf3cXh4iK985StT7fe//uu/YmlpaaptENNBQg1xjLgdNbdv345t+8CDDye7g2M4HFp5J+vr66HrsSuVCvb392PY43hhFd1xfGCzERG7W8YuHly8eDHwUzUWJnzSYS4P9qWq6lTB1cVikfub5ziEEGerVa/XQ7VatSrcd3Z2fD91FwTBd1MS76JDmND4cU8LvWBOAKcVvNPpHGvnYNjbOca5d7KyCCdHTTrw6qhJijBVyV5P9p3OnUmh5+12G41GA71ezwo9z8r5OiuQo4YfZFmOrPGp0+lYjt9ms4mLFy9Gsl2CT0ioIY4RZ0U3Gx+KiiTrsavVauYalIA3hZqFhYWpt2XPljk6OrJGRKJsDGJtOVkhiqYi5vJgYsLR0RHy+bzl8lhfX5/6fVwoFLjK03EjCkeNpmmWW8YucLEbmmneo/l8fqYcNUnUc4cJZ3XL75AkaUTccbp2/Fafk2BycpglR00ShB3JYuer02nX7XZHBB776/hx7VA21nSQo4YfoszmvHbtGra2tiLZ1jhyuRw+9KEPIZfL4Xd+53fw27/927G/JnEcEmoIV+ISaqZZHLAAzLTqsSuVSiZHn8JWdLuJYKVSCaIoejbdREHogF7TRP7//l/kvvc9mJcuwfi1XwMSuElnOTVBnpbYW65YWC0L/Q3q8vALb8HHboQRamRZtrJljo6OkMvl0Gg0IhO47AiCkCkRcRxxXeOnJcxi0a2ZY9KIh1vrjlv1eRQLfXLUpAMJNfFjDz23Vw+3Wi1sbW2hVqsd+xmvliynEOun0c4tb4d4gKqqqNfrae8GAUTadru7u5uIUPPUU09heXkZ9+/fxwc/+EHs7Ozg/e9/f+yvS4xCQg3hSpw3lWzBOOlGnDXYMGGGhdA2Go1U6rEFQeByYTOJSqVitViNQ1GUkVEbXdcTE8HshH0N4fd+D8Lf/A3Q7wNzczCeeALa3/4tEPM+s/fzOKGGHVsmJui6bmUk2cNq44THBjAngiCM3UeWN8WEGZbT02w2E6lxn7WMmiQcNUkQdsTD6QCw1ymz32Mii1cwq/PX+XyeRBmOoH+LdBjX+hTmfPVqtOv3+yPnsf2aVigUxo5OZm2EMiiKotDoEydIkoRmsxnJtnZ3dxMZd1peXgYAnDlzBo8//jieffZZEmpSgIQawpUkmp8ajYb1PT/12EksZieRy+UyN/fu5qhxC6YtFotoNptYXFzE5uZmqpbZwONEt29D+Ku/Qo5l2/T7yH/ta8h9//swf+In4ttRHG9+sosJLLw6CSfSJLLiqLHnEzGxlgkziqKgXq+j2Wxic3MT8/PziV4TgmTU8A6vjpokmNa1Y18YOsUdt+wOQRAgyzJu3brlumBM+3ONIKJmOBxGJpqHrUl2c+3Yz1e/wedOoScrI1k0+sQPkiRZwse0XL9+HR/+8Icj2ZYX/X7fmljo9/v453/+Z3z2s5+N9TUJd0ioIVyJ80OoWq2i2+1aYal+67F5gOXU2C2+vFOpVDAYDHD//n3LLaNpmhWwnMaCdxJBx4ly3S5QLAL2EOJCAfDhJJoWQRBweHhoCTNMTBBFERsbG6jX61w8sSsWi9yP7pmmiaOjI/zwhz9Eu90eqRtfXl6OzDocllnKqGGiM+GPMC4Ae8sOe/gwGAyOBSuzP+9s3PFyA/D42cgjJ1WI5IU0P/dYDk4QocJegW4/R1nODvuefSQrSEtW0vdY41xNRLJEGSZ87dq12B019+7dw+OPPw7gwfvoox/9aOziEOEOncFE7DjrsQ8PD2GaJs6dOxeoHpsHWEU3z0KNaZoj2TLdbtdyKzHxgPenLEGFGnNrCxBFmIMBcoYBM5cDikWY/+2/Rbpf9mpnJjKqqopqtYr19XWsrq5G9mEcNbyNPpmmiX6/b42EdTod6xqwvr6OixcvcneTGXT0iedrWj6f5+r9MGvYF4rFYhHlchkrKytjf8at+txtvIO9B/1Wn2fFAUAQaRIm+Nwrb8fp3JmUj+Um8kQhdNF5zwemaUaWd3Z0dIRTp05FsFfebG1t4bvf/W6sr0H4g6+7YIIbprm4T6rHXl1dxa1bt7CzsxPhHicDj4HCqqqOHG8WIGd3dDzzzDO4fPly2rvqm3K5HKyiu1iE+i//guL/+B/ASy/B3NiA9ld/BczPT7Uf9vrxVqtl5SQ1m03L+bW/v49ut4tz585N9Vpxk/bok2EY1vuUBSjPzc1Zob/MYru7u4ulpaXU9nMclFFDxIkgCKhWq76dY6xxx+nQsTftqKrqGso6TtyZBdcOuWnS46Qc+7AjWW6tdrIso9vtjpzLbiNZk/J22L171kb0Z5koxwDZOBsJcCcHEmoIV/xWdIepx2ZPG7JItVr1FcwbF053UrfbhSAI1vH2arlhT895cyh4USqVggk1ALCxgeG///tUr6uq6ki1s71+/NKlS67VzmkLIH5Jej+Hw6GVLWM/ls1mEzs7O6hWq8eOJW+uHydBhRqe235OckZNGsTxPrA37vhhXCirU9wZt0hkC0T7QpE31w41PqWHpmkkEngQtgLdzbVjP2edFejAg0X9Sy+9NNa5k8ZI1kkjysan119/HRcuXIhkW0Q2yMaqjUgF5418VPXYWVnYulGtVnH37t3EXo/l+NjdMk4Xgp+b0UqlAkVRMiPUlMvl2J1LbPTGHvpbKBQgiqIVVutnAeQME+aVOEUQNhLGhJlOp2MJiEGOZRaEGr8uFLvYzeONMAk1ycHLcQ7jAHAuEpm445bbwf6ek9p2ohztGLffJBakg6ZpqQTmzypBR7IA4PDwEHfv3sXq6uqIS0eSpJHz1v7gIUjeDuEfSZIizafZ3t6OZFtENsjGqo1IBcMwcHh4GEs9NrPdZ+2JF8uoiQN7Zke73bYWuyxMdW1tLfTFnjU/8ZytY6dcLqPdbke6TV3XR0QvdjyYE8mv6OUkK0JNlAIpc9IxYabf76NWq1mZU1evXg11LHkfLeJ9/4JAo0/JwqNY54ewuR3OrB2/ox3jsnaCPP3P4v3FrBDlqAcRjuFwiFqthnmf49/OkSz7uet07rg1201qyTrJ56IkSZE5akioOXnQlZTw5P79+9jf34+lHrtarWIwGKBer0eyvaQoFAqRLdQ0TRsRDhRFsYSD1dVVLCwsRPbhxhw1WSHU6JMDWZYttwwTfRqNBprNZqQNQoVCIRMOsXw+H/rJPnuvsuOpqurEkbCk9zEJWG38LECOmuQ4ScfZ7trxi1fbTqfTGfm+WyCrl6ijadqJXhymCTlq0kdV1UAOnLAjWUzcsZ+3LEjZ/j376/hx7fA2SjkNsixDFMVItnX9+nW8+93vjmRbRDYgoYbwZGVlBWfOnIll27VaDZIkZU6oYQR9Wufmlsnn85ZwEHdbEI8hyOMol8uBXCr2rCTm8CiXy2g2mzhz5gwuXboU2xO+WVwMMJGr1Wrh6OgIuVxuYg7SScDPjaNd1Gq1WiM3pm5uAeYUSBpy1CQHr+NvvBDGteMVyMrEHUmSMBgM8Oyzz1qv4bf6nP6tpoMcNenDHvzFiT0jy+9rebVk2UVZZwW6VwC6W94OVDvllwAAIABJREFUj0TpqNnd3Y29mpvgC7qSEp7EebNSq9UyGyjM3CnjLryapo1k+bBKbzYa8tBDDyX6oVKpVNBqtRJ7vWmZlFXCsnuYw2M4HGJ+fh7NZhPb29u+spJOKs5FIwuoZsJCr9ezRK6zZ8/iypUr3N4A8YCiKCOhyblcDo1GA4uLizh//jx0XT/WzON84uisW/YSdKJ82kiOGiKr+Hn6f3R0hLt37+LKlSsAji8Q2bnnzOxgnzvMGeSn+nwWxfppIEdN+rB2IN4QBAGCIPh+MDkuAL3f7498rtofPEzKyWJfSZy7qqpGcj6Ypom7d+9iZWUlgr0isgIJNUQq1Go13Lt3L+3dCAVzpzChxjRNDAaDEbcMW6yJoojl5WVUKpVUhYPAddcp4xQSBoOBtRC2B9WyCvK0b0jy+Xwm6jAFQbBmzpnQpSgK6vU6ms2m70DwuOHVgWCaJgzDwM2bN9FqtdDtdq2Wu9OnTx9zbrGbxyC5Gm4jIN1u17Vu2W0x6bWodO4DOWqSg9f38yzjdL2GWSA6BVZVVS2R1X6OMvL5vO/q81l+P7B8FCI9go4+8UrYCnQ314793PWbk+WWtxPk3GXX/ijOd13XkcvluL/PJKKFhBrCE78V3WFgGTVZpFwuY39/3xIO7G6Z5eVl7OzscHchrVQqkGU57d3wha7r6HQ6UFUV3/rWt0aOb9TZPVHBAoWjsrdGCXN8sGar559/Hs1mE81mEysrK7GO3IWBBfbyYJ03TRPdbheHh4dot9vo9XqQZRnD4RBra2uRvxfDjoDYnzIOh0P0+/1jwo69kYcJN/1+Hzdu3HAVeXg7xwgiCNMK52EyO9ye/DsXiPasHbYIHefY8RJaeUbTNC6u3yeZkzx+xsaNgzzA83pI4tZuBzz47PXTkmUYRmQPEm/dukVumhPIyTyLCd/EJdRkJdyW1Q4zt8zR0RGGwyGKxSIuXLiA8+fPo1qtcn8TxfPTc1mWR0KVTdPEwsICSqUSNjc30Ww2uT++pVIJw+EwdaHGWTne6XRQKpUgiiKWlpYgyzK2t7d9N0GkARt7S+MmU9d1HB0dWaNMiqJYI3UXL17E3Nwc/uM//gMbGxu+3pNxv2+DLibtjTzdbheyLEMQhJFsD3ZTyq77giB4jmHZb0gjFadNE/n//E8U/vVfAdOE9lM/BeOxxwDOrwNekKMmedJofQrj2nEbxxoMBiOLRfuTf7fFoZu4k+bDInaPRKQLXXP8E7bdbpJzR5IkKIqC5557DgAm5u2w77ldu3Z3d7G1tRXp35vgHxJqiLHEdaFn2+XtBpYt1JhoMBgMrNrhc+fO4fLly9ZT6OXl5bR3NxCssSbNJ+XMocDGbnq93oiQcPHiRWuB/uKLL2bGIl4sFlOp6DYMwxIW2Pu1Xq97Vo7v7e2Nzf7hgSQrsIfD4Ui+jGEYVsC3l9tIEAQYhsGda84Pdht5Pp/HvXv3Jl7H3KqWnfkAqqpaQvCk8Q8/oa35H/wAhSefhLm8DORyKPzTP0Gbm4PxjndEfkyI2SQLo6hhnvz7OR/9VCi7Ze1E9VlLjpp00XWdHJEx43ck686dO9A0DWtra2ND0Lvd7sj5a5omPv3pT6Pb7VoOaMMwUCgU8Bd/8RdYWloa+VpcXIzseqfrOt75zndiZWUFTz75ZCTbJMJDV1JiLHEuklluSlqjF6ZpWm4O1m4DwKod3tnZcXXLZK1BicGalJI83m61zvPz8xBFEZubm5ifn/d8j2UpV4eNPsWNqqojx1PXdSsLyev9aicLVeKTgqSnQZKkkTYrlnXE8nn8PAUOmkfEmxjN8FuFLggCqtWqb7cYs5A7x7HYOOOk8Y9SqYTmM8+gKgjI/fg4F+fnkXv5ZSDDQg2P74FZJu2HEnER5nx0Zu3YRzrGjUeOa8ca59ohR026zEo+zSwgSZLlYA7qgP3GN74BWZZx//593L9/H1/+8pdx/vx5aJqGF198Efv7+9bX4eGhJc5+8YtfxHvf+97Q+/yFL3wBDz30EDqdTuhtENFBQg0xliSan5ISDlj2CXPL9Pt9VKtViKKIs2fP4vLly76eArExl6xRLpchy3Jsx9s+JsYWwvl83gr9XVtbC/TapVIpM0JNsViM/D3BjicTFliIMnu6srm5GXj2OY79jBpBECIRatgYGMuX6Xa7VpvV+fPnQ2dJJen4iRPmsIuaMBZy5xNGvV6H1ulALpcfiGJ376JdqWD/x1XLTmGH9zYeatdKHl3XUw+Z5wF7hbIfxrXsOMUdFpRuX4AWi0UMBgPcu3fv2LkZpWuH8EZRFBJqOEGSJJw5cyb0z1cqFayvr2N9fR1f+MIX8JnPfAY7Oztjf2aaz5ubN2/iq1/9Kv7gD/4Af/7nfx56O0R0kFBDjCXOD1UWKLy4uBjL9p3ZMmysQRRFXL58GbVaLdTfj9exrUlEnQvExm7sY2JM+IoiVLlcLqPf70e2v3FSKpUsR1ZYDMNAt9u1hJl+v49arWaN4Vy9enXqhWdWHDVhhBDDMNDpdKzjx8bAms0mNjY2xrq3ghBEqOH5+sBLPbd9/GNubu7BN//7f0fx/n2Ie3tALgfz4kUs/uZvYqvRGLGPj6s8H5fr4SXy8CLsENMzq46auAnTsmMPYh0Oh7h//z5M0/QMYgXezL7ycuzQORkeVVVJpOQEWZYjyy68ceMGNjc3J/65ae47PvnJT+JP//RP0e12Q2+DiBYSaojUqNVqaLfbkWyLLdLsbplyuexZmzstLJMkS08tpm1+UhRlJPRX13UsLCyg2WxOJXx5US6XcXh4GNn24iSMy0rTNGuEqdVqQdM0K7j20qVLmJubi3yhXywWuW//8jv6ZB+rY8ePvR/9jIGFhWXUZB2eA8ZRr2P48Y8j/8YbgGnCWF8Hflz3a39676cC2MshoCgKer2ea64Hy9kZV3leKpUyP/42y2Qho2ZWcLroisUiVldXPf+8PdTcfl6yc9J+npqmCdM0fVefk2uHHDU8EdV1iI0wxinAPfnkkzhz5gwefvhhfPOb34ztdYhgkFBDjCXOiu5arYbbt2+H+ll7U9DR0ZElGoiiaLWzxO0GkmU5Ux+GQYQP9jSMLYS73S6KxSKazSYWFxd953lMQ1K5L1HgJ0yYjTGx92wul7PyUdbX1xN5L2Vh9MlLqGE14+wYAkj8+AGzNfrEg6PGk2oVxpUrU28mjENgUs2yNaJly9kZJ+iwMRESbJKDHDXp4Oe428/JINt1OyedbXW6rlvnmT1rZ5zAM2vvE0VRfInYRLxEGep8cHCAxcXFWD8/nnrqKTzxxBP4+7//e6sJ8jd+4zfw13/917G9JjEZEmqIicR1Q1+tVn2F8tpHQphbxt4UtL29nXhwHdv3RqOR6OtOw7jRJ03TrDEmVks8NzeHZrOJCxcuHGsPSoIshwmzdiv2nu31eqhUKlZ72JUrV1J52psFoYbVRQ8GAytfptPpoFAooNlsxuKQCwILE/YDz4tynvctbYLWLHstIrvdriXw9Pt9q6LVvogc59opFov07xQSctSkQ1yNT2Gyr7waduzijn1Eko1h+qk+5/m8zJrbe1aJcuwpiWruz33uc/jc5z4HAPjmN7+JP/uzPyORhgNIqCEmEtcHktcIgduIDWsK2t7eRr1eT/1D0q/IxBNs9Im1XdndHQCs0F+vWuKkCZtVkhayLOPVV19Fu92GoijWe3Zra4uL9ywQb6PSNNiFrTt37mAwGKDdbqPZbGJ1dRULCwvcPPWcFUcNQCG3UTFpEdnpdHDnzh1c+bFDiC0inc1Y/X5/YhPPuKydWXQHhIUcNekwHA65qOYO2rADPBD33M5LSZJcnXTA+PMyrWBzRVEoo4YDJEmK7F76tddew8WLFyPZFpEt0r+aEtwT5wJTEAQcHBxYYza9Xs9yyywuLoZqtkmCSqUSWb5O3NgdSZ1OB08//fSIu8Nv2xXxJm5jOJqmYW5uDqurq1wIXW7w4qjRdR1HR0fWMWTCVrPZxNraGo6OjnD16tW0d9OVWRJqiGRwCmJBF5FemR5Od4CqqiMByuNcAXZ3wCzCxg40Gbj9nwLkQ0C8aOLMT3KayzQjaJqW2Wpu5qQL6tpxVp+zEUln1g57Db/V52HvvakenQ8kSYrMUXP9+nW8/e1vj2RbfvjABz6AD3zgA4m9HuENrc6IiUQp1Kiqao3XsDGm69ev4/Tp01w5DybBMmp4hB1j9mUPqS2Xy3j00Ucz86SRjZmkuZhgNc9MVOh2uyiVSsfGcJ5++mmcO3eO6/dvWiLDcDgcEbZ0Xfd0cDEBh1eChgnz/H7ged9mjWmOdZhMD5az43QHDAaDke85A5T9CDtZeN8YhgEYAr79pSJar+UhlIHdrwFX/h8NGz9DQmtc8OKoSYKwrp1x+VfO8xJ44NoZ59hxG5PMwjk668iyjKWlpUi2tbu7i4985CORbIvIFifjakpMRdgLvmEYllOm3W5bgbQsAHRzcxM3btzA3Nwczp07F/Fex0u5XOZCqGEigj30VxAE6xhvbGyMOJJu374dacBZ3LCcmiSD8XRdH6l5lmXZV14PE0F4vklN6uZNlmUrX6bdbo+8JycFUfM6nsUIklHDOzT6lAxpHOewOTtOYYc5dpwVy0w88qo6t499pLFo1HUd3dcLaF3Lo7Hx4PjrQ+C1Jwu48NM6ctn4CMwcWXbUJEHQ89I0zRG3jl1wdYo97DojSRJeeOGFse1YQVrriHBEOfp0/fp1Gn06ofC7oiAyh9PJMRwOrZyOjY0N1Ov1YwvcWq2GwWCQ0h6HJy2hwz4y0m63IUmSJSKsra1NzPJgAlNWbqRYSG+cQo3T5aXrOhqNBprNJh566CHfNc9sX3kWauLAzXFULpfRbDZDBSfzLtQIguC7jYyeahIM3t8LYcJanYtHVVWP1Ss7c3bGuXWizPMwDAM5UxgRZPICYBiAaQJ8/2tkl5PkqEkCFnDsNwJAkiS88soruHTp0sj5qaqqlYHl1Vo3qfqcws2DoShKJEINu8ean5+PYK+IrEFXU2IibhXdrL7Z3mpjf2p+4cIFXzd8tVoNBwcHce5+bAiCEFvDAYPVkLdaLRwdHcE0TTQaDYiiiOXlZVQqlUAfnCxQOCsX/Kibn0zTxGAwsN63rE2IZSJNUzteKpW4yH+ZRC6Xmypo0zCMEcfRYDBAvV63HFzz8/NT3cxlQaiZFUcN3XQnwyw6l+wLyLm5uYl/3quFR5IkdDodV2eAIAgThR2vAGXTNCFumKiIJnp3cijWTUj7Oay/X0eejASxoWkatxltJwHW+FStVn3noxiGYZ2b9vOQia72cHPgwbnlt/r8pLp2TNO0auKnpdfrYW5ujj6vTygk1BC+0DRtZJRBVVXU63WIojhVfXO1Ws2kowZ4s/kpKtGDjYrZxa9yuQxRFHHmzJlIKonHVXTzSKlUmmp/7aICy0Sam5uDKIqRtwkVi0XfTos0YUKI3yd0mqZZYmGr1YKmaVhYWECz2cTOzo5vx5Ff8vl8oAyYpPGTUTMcDtFut3F4eIherxdqoUkQs0TYAGU/rh1nzg773Lh7eANr/28Zd77ZwPCohPUPGdj+2RyAk7l4TAJy1KSLoiiBq7nz+Xxg0XXSucm+DMOwBAs/1edpjUpGTZSBzru7u9jc3IxkW0T2oKsp4Yvbt29jMBhAFEWsr68H/iDwIisuBDemFWrYYo4tgu2jYnEFK5fLZfR6vUi3GSflchndbtf3n2fHlAkzTFQQRRGXL19GrVaL7SaAjT7xDmt+8hJq3BqtmFMuynPfC95v0twyapzHLJfLodlsotls4uzZsyPNIIqioNfrjTy5ZAtN1gjiJejEIexE9dSP8IaOcXDsAcp+nQH2xWO73X5wf7Gg4syHb1kLye99/8HIB/v38FN5PiuLxySgjJp0SaKaO8y5yTKwnHk7k0Ylx7Vj8fygI8rGp93dXWxvb0eyLSJ7kFBD+GJzczO2cQT2BJ3Hi+04KpUKJEny9WfZyA0TETqdDgRBsLJQklgAAw/2OUujZuVyGfv7+56/L0mStUA+OjpCPp/3DFKOm6wINfbRItM0R44hGwVzNloRbyIIAhRFwe3bt3F4eDhyzJzON9M0oaqq70WevYI5CWGHjbTSIpSYBexBrYIgTCwpYCMfznOu2+26jnywBeq48OSTnuVB1dDpoqoqRFFMezeOESYDy/55yL7Y56Fb9blX1k4awqssy5EKNRQkfHKhO3DCF3Fe1Nj4U71ej+014qBarXqKHqw5iAkzg8HAGrlZWVnB1atXUxGmWEZNVrCLH6ZpotvtWqJCv99HpVKBKIo4f/48dnZ2Up2HLhaL3LuVTNOEYRi4desWdnd30e/3Ua1W0Ww2Ix8FmxWcYclHR0fQNA2NRiPyc1kQhEDZAtMKO6qq4u7du6hUKtw/ocwyJIbxiX3kww8sZ8d+bqmqeqzyfJIrwE3kmZVzLu7cPmI8YUafeMTu2vGL3bVjP0edwqvdEeuVgzXt+SlJUmQlGLu7u/jpn/7pSLZFZA+6mhK+iPMms1arQZKkTAo1zFGjKMrIyI1hGFbobxw5HmGZNvMlSTRNQ6/Xw9HREZ577jmoqmqNhm1vb8cyGjYNPDpq7C1hrVbL+rdvNBq4ePEitwF10wYeTwMTBA8PDy1BkDWrbWxsoFgs4qWXXsLW1lbi++ZkWmFnb28PiqKMLDTTHsUiiGmJSxgLm7PjFHZkWbZqz50ByixnZ5K4w2tIq67rdD1IkSRGn3gljGvHLeBclmV0u13Xz0R7DtY4985gMMDi4mIkf6/d3V1cunQpkm0R2YOEGiJ1slbRzRqvDg4OcHBwgKeeegqlUgmiKOLUqVPY3t7m1vrL8w2UveHKno2Sy+Xwkz/5k9w3SbDslzQZDocjWSn2qvHl5WVUq1W88cYbyOVyXAujQQOPp8EwjBExi7WiNZtNXLp06ZiY5XwiNwmehDCnsHPz5k2srKx4Hmc3xw7LFSBhxz/kqEkWXkapw7gCWM6O87xzunacC8dxi8dSqQRBEBJ7D9J7PT0oI8g/QYVX4MH56TYuKUnSsfHJXq/nOi7p9utCoeDZXnd4eIjTp09H+VcnMgQJNYQv3Cq6o6JareL+/fuRbzcqWOsNExFY41Wz2USpVMKjjz7KxU2hX9J0KzCc9e7dbhelUsk156PVanEv0gDpOGpkWR4RZgRBsDJ6vKrGi8Wi72yltIhTqNF13TqXDw8PR1qsrl69OtGdErSem+dF+qSGrShGsRITdmQZ+e9+FwBgvPWtQAauGUQ86LrOreNkEvacHT+4jXuoqmo5duwhrcCb4pHXuWZfOAa9bs1iDX3W4PnzZhZg5+ck186zzz6Ld73rXQDgWn0+GAyOhSubpomvfvWr+Kd/+ic0m00sLi5icXERiqLgr//6r7G0tITTp09b/+XVEU1ECwk1hG/iEmp4ctSwcFUmzBwdHSGXy1muhNXV1ZEbqFu3bmXu5qRcLkOW5cjmZ/3ARnDYAlmW5ZFxknq97rkYEwQhE3PvQRfwQXFmpXS7XZTLZTSbTZw7dw5XrlzxtTgpFAqpO38mEeWxtFdlt1otmKZpiVlra2uhqkyD1ofzevMc9TU9LWGnIkk48z//Jwq3bwO5HMzVVUj/5/8AzWZkf7dp4PXff1ZJ+0FEkoQZ9/BTeW4PnLcLO16CaqFQgGmamRXIZoGT9L7nGcMwrIfbAKzzxs8997ve9S586lOfwr1793Dv3j384Ac/wMsvv4zDw0P86Ec/wt7eHvb397G3t2dlIubzefzqr/4qPvWpTwXeV1mW8f73vx+KokDTNHzkIx/BH/7hHwbeDhEffK98CK6I60azUqmklptiGAY6nY7lSLCHq/pZ/FarVUt0yArseMcp1Kiqah1Ttji2uxYqlYrv91O5XIaiKNwLNVGfH/b3JgukZk6ujY0NzM/Ph3rNYrEYW4NbVNibqYIyrirby2UUhCDHPE4nYhQwd11aRCXszH/xi8C1a5Dr9QeLxR/9CPuf+Qxe/63folGsE0iWHTVxk8vlrABlP/ctXjkekiSh0+kcE1RlWca3vvWtiQGtpVKJzruIOcn5NDyhKMpULvB6vY56vY7t7W10u108+uij+OQnP+n553VdD72GKpfL+MY3voF6vY7hcIjHHnsMP/dzP4f3vOc9YXefiBi+Vz4EV8Ql1LDtJvHUUVXVkRwUXdexsLAAURRd8ygmwSq6sybURNn8xKrH2TFldcWiKGJxcXHqxTEbKcrKMQ77PmYjduw4DodDKyslykBqHrJ0JsFcVH5g9eL2quzFxUWcOXMGly9fpgXbGPL5PLcikhtewk7l6Aj5ahUF9n3DwOpwiObb3nYsyNWPY4ctJKMSdshRkyzkLIiOIDkevV4Pb7zxBq5cueLplLN/zyug1UvYoWv5eFRVnYnGp6wjSVKi1dyCIIR+8GrPK2Sfh/RZxRck1BC+ifPkZa6JKLNI7KMiTEAoFouWgLC5uTn10wd781NWYKNPYXFzIbHq8Tgqntl7Iwswt4qfm1rmOjo8PBwJT242m1hfX4/thisLQk2hUHAdfXIb/6pUKmg2m6nW3mcVnt0+QdAffhjCf/wHzB8v/HKaBv0d75jKsROlsEMkCzlq0mE4HFqNVEHPO7daZXuOBwtQZqLnuDEs9nthcnayDDlq+ECSpMjWMtevX8cv//IvR7ItL3Rdx8MPP4xXX30Vv/u7v4tHHnkk1tcjgkFCDeGbOD/wqtUqBoPBVBc3TdOsHJR2u22NJImiiPX1dczPz0e+iKtWqzg6Oop0m3FTqVTQ7XZ9/3mW8cGEGRa+KooiLl++jFqtFut7g8faay+KxSJUVT22OGPZR0xgYM6PZrOJ06dPj4Qnx800Y0VJwfZxUlV22PGvJOFZDAmTt8Mjw49/HPlXXkHhn/8ZAKD97M9i+Fu/FXg7cQk7bJF5cHAQi2OHGIUcNekQNksuTICyW/NOt9sdOefsYr+zecdrNIv3z5NxkKOGD2RZhiiKkWzLj6NmWgRBwHe+8x202208/vjjePHFF/ETP/ETsb4m4R8SagguYIHCi4uLvn+Ghf62Wi1LLHFWEcdNtVrF3bt3Y3+dKBk3+mQPU2bH1d4ktLGxkfgTm3K5nBkxjIlKtVoN3W7XEmbs2UdxuI6CwPO4i70qu9vt4vXXXx9blZ0mszDOwrOIFIhSCcr/+l9Qjo4A0wQiukmehF9h5969e5BlGaurq1yMYs06uq7TMUmB4XCYyAOHfD5vnQ9+YDk7znPPWXnOHg4Ax4UdL5GHp/eZoiiRCQREeCRJwvnz5yPZ1u3bt7G6uhrJtiYhiiI+8IEP4B//8R9JqOEIEmoI38QZjFmr1cYuxg3DsBa+7XYbvV7PGnk4e/YsLl++nErYLMuoyRL20Sd2XJkw0+/3reO6vLyMnZ2d1C3kWRh9Yq1WvV4PL730EkzTtIJ/L168yJXAwBOsKps5Zphbq1Qq4fTp09jZ2Ul7F10RBAGGYaR+bkzLrDhqLBqNtPfAFSbq8TKKxdPiMg5m4dzMIpqmcTl6EyRnB3hwvrqde7Iso9vtup57TDyaJO7E+b6k0Sc+kGU5ktEnXdet1rW42NvbsyIhJEnCv/zLv+DTn/50bK9HBIeEGiIQcQo1d+7csf5fVVXryTobt5mfn4coilwtfLPQoGOHBdZKkoTnnnvuQWPKjx0LPB1XOzyOPtkrn1kodaPRQKVSQb1ex9bWVtq7OJE0HCHD4dByGTmrsu25PPv7+zg4OEh034KQz+dnIgcja44aXQWEE7QOCZv1YXcJjAtxnVVhhxw16TAcDmNtk0yKXC6HQqEQaIHsdu6xnB03YcctZ8ft14Ig+P6cptEnPohq9PLO/8/eu4fHcdf3/u/vXPYqrXZXF0vWxbYk25Id24ltciUJkCaBBHIhQIEUSglPe6BpOS3nUPjR5xxKKdBSeji9twHK70cJtDnhhIakJIECzdW52MaxHTuxJdmWZOu20t53dmfm+/tj9B3Prva+M3uR5/U8eiStdmdnR3P5ft/z+bzf58+jr6/P0nHa+fPn8eu//utQFAWqquJ973sf3vnOd1r2fjaVYws1NhVhxQmDUgpVVbGysoKjR48iEok0vN2mEljEbTMODFOplC52sajijo4OcByHXbt2mWrebBXNUFHDtiPblhzH6ZHPRlPq8+fPm5qoZRU8z0NRFMur0FhUdigUQjgcBsdxZaWBNbuPDtt+5dBswqeRVqmoiZwjOPItEckQgXeDit0fldHW2zoCU71E0Uq9PioVdnKrBnInlc0i7NgVNY2hXCP99Ug1Pju5BsrpdBqRSCTrMXYdZOJRMfPkdDrdkMpym4vIsmzauWdiYsLym367d+/GoUOHLH0Pm9qwj2ibijBjsMnaRFi7DYu3VlW14f4d1cCEhHp44hSDUopYLKaLCdFoFE6nE36/Hz09PVmGtbFYrKknkEbq7amSL1nI6XQiEAigt7cX27dvL3ghFkURkUikbutaLUwIMXtQl0wm9TYmY1T2hg0bim63XCoRQhpBpevXrH42rVBRk0kCh/5eBOGAjiGKxCKHw/8g4trPpcE1wQiGnDoF4bHHQDIZyDffDHXPnkavUtmsV2FHVVV7wtoA6uVRsx7gOA5Op7PsChhKad5kLOOxl0wm8corr2T57BRrw3I4HBAEoaXG282OmdHcU1NTGBkZMWVZNq2LfUa1qYhqJhupVCrLnJZSio6ODvj9foyPj8PtdoMQggMHDsDr9bbcRYNFdNdbqGGCFxNmUqkU2tra4Pf7SybiuFwuSJLUUmWyVk12jXHjy8vLSCQSWclCbW1tZe+TzdimlQ8W0V1LRVWxqOxaBddWqKhphUqUUrRCRU1qiUBOELQPaJMPTxdFZJpAChO4OxsrMpHJSbj+4A8AVQV4HvwvfgHp85+Hum9f1vOaVairlFYS1pB5AAAgAElEQVQRdtZDW2IrcilX1FgNIUQ/Brxe75q/q6qKgwcPYv/+/QAuGijnijvJZHJN1Q57Ps/zRduw2PdWG6PXk1QqZdpcYHJyEtdff70py7JpXWyhxqYiSg02WZwuE2ZisRgcDkdZMcQs+amjSQ0hC+F2u+vS7pJOp7Pab4yCV6UpVyz5yefzWbjG5sEm7mYMAlmMO/OXyWQyuk/P9u3ba4obdzgc+sCnmWFCTSUUisoOBoOmR2U3u1DDPGoKIcuyfqyGQiEoilKwZN04Aa335LLsihpKwT/9NPhnngFta4N8992gg4PWryAAwUOhqoCSAXgRkCWAcNrjjYZ/6ilAUUBZwkcoBOGRR5DOEWouVRol7MTjcYiiCEmSmqIV61LBrqhpHOl0OssioFIDZSDbvNz4vdjxV07keSU+O61OMpk0zVJgYmICH/nIR0xZlk3rYp9RbWqCmaqyL2ZO6/f7MTw8jLa2trJP0B6PB8lksiWFmng8buoyWbUCE7yi0SgEQUAgEEBnZydGRkZqEi2MyU+tgMPh0AfdlZJP4MpnYGsGrE+82SlHCDFGZS8vLyOVSumC1rZt22oStErRaq1PzCSZiX+UUgQCAQSDQQwNDUFVVaiqqk88jfGwxgGwoih6ul4xQceslhHmr1Xy8z71FMRvfAPU5wMnSeAPHYL0p38K2tNT0/uXgzsIbLtLxuuPCCAEoAB2fjADsbGdpoXJI3ytl4oaS8hkwB0+DLKyAm7TJvDbttUs7CQSCSiKgqWlpaZoxbpUoJTa265BmFEhXal5OfPZyWegbKzkYdfKfAbK+UQeQRBa9nyZTCZNuwF67tw5u/XJxhZqbCqDEIL5+XksLCxkmYP6/f6aJ72soqbVcLlcWFxcrGkZbFJs9O3xeDy6mNDe3m7qAMjlchWNQ282nE5nWQIIpRTJZFIXF5hPSiAQQFdXF0ZHRy2949cqLTH5KmqMlUbGqOxgMIgdO3bUtbWv3r5E1bC0tISFhQXdpJuJqLn7GJtMMr+AcmCijnHyme/OJqU0q2S9WNWOKIprBr/ltj4Jjz0G2tUFeL2gAMjZs+AOHoTy9rdXtM2qZdNbFQS3q0gtE3i6KLwbmmPfUG66CeKPfwwyPw9wHJBKQb7rrkavVuugKBAfeADc0aOAKAKZDOQPfABKmeX+hSp24vE4+vv710yYWsVjx8amUnIraupBpT47qqpCluU1wk4sFst6zHgTRBCEkpHn+a5tjcKs1idKKdLpdEsEfthYiy3U2FQMIQQbN27E2NiYqaX6Ho+nqSN5C8E8aiqB3YFnwoyiKPD5fAgEAhgbG9N9e6zC5XJhbm7OsuWbTaHkJ9aOw4SZWCwGt9uNYDDYksbU9UIURaRSKczPz5eMyrbJTq8ytssNDQ0VbeesFo7j4HK5KqosyJ18plIpRCKRLONJBhN2MpmMXsGTO/nMuqvJ84Dx+KNUe6yOtG+kaN9orkAjS8D0MzwiZzUBaPAGBc4KCjrpyAikr3wFwg9/CMgy5FtuWeNPA9iVBoUgExPgjh8H3bJFeyCdhvCDH0C57jpN+KqSQqlPreKx04rYVWONpRU8B9nxUa6gxHx2jNcwVjFnPCZZdTCltGxhx6pjUJIkUwSz5eVldHR02MeUjS3U2FROb2+vJW0Jbre7JStqShnIGqs8VlZWEA6HGx4/3qqtT6zyiE2YmYFyIBDAyMhIRa12VtGsce1GsWFxcRGqqqKvr69kVPalSCqV0iuLwuHwmvSq6elp8DyPrq6uksuqVyxzuSXrlFJd2Jmbm9NFZtZqmRsLCwDBXbsw9K//Crjd4BUF6OjAypYt4MPhLH+dRh97lXL6cR7hCQ6uToqVSQ6JBYKdvyaDr+B0rG7bhvR//+/WreQ6hshytiAjioAsA4pSs1Bjxvm33sJOoVbHZruW5MPMWGKbypEkqeVsA0pRqc8Ou7blHoOpVArRaDRL8Cl2DOY7HsvZt1kVsBnXwcnJSbvtyQaALdTYVIFVg/FqDE6bAbY92B0lVVX1Ko+VlRXEYjF4PB7d9Hd8fLzhA69WMb1lHkiLi4tYWVnB7OwsOjo6EAgEKjZQrheiKEKW5bqLb7kYo7LDqxPqQCCADRs2oLu7G4uLi9i+fXtD17EU9bpLm29bBYPBgserqR46igL+pZeAlRWoW7eCWjw4I4RAEAQIggCv1wtCCPr7+ws+n1KKzJ49ULdvB3fgAFJOJ8LXXYckxyFz4UKWvw6jmK9Oo4yTc8kkgZUJDr7VNCnRTRGdIUguEbT1mVu5U4/9WFUAqmqGy62COjAA2tYGMjcH2t4OsrAAZf9+TbCpgUalPl3Kwo6d+NRY0ul001fUWI3x2lbu2DD3GMxXtWM8Bo3iUe7xB1z0/6v1xsXp06cxPDxc9ett1g+2UGNTMVYNOAkhumdCo4WMSmB3nk+ePKmr9j6fD36/H6Ojo/pkqJkoO+2lzqRSKb0VJ9cDiRCCPXv2NHoVS8IMhesp1BijskOhEGKxWFZU9o4dO7KOqWg02vRCHRNDzG4rYhVuoVAIoVBoTax47rYqtG6mmEarKhxf/CL4Z54BCAEIQfqzn4XylrfUvuwyKMejhhkb49prgWuvhQjAU+T5zGDSOPE0Gkyyx1RVzWucXGgiavY1geO1Ta7KACdo3Vyqqv3cSlAVeO1fBZx6VAClwJZbZFz2IRlcKxQ3tLcj88lPQvjBD0AWFyG/5S1Q3vWumhfbKmOI9STs2IlPjcWslptLjUqPwdzrG/seiUQQi8UgSRKOHDmyxmenmHkyu3FhFJcnJydx2WWXmf55bVoP+6xqUzFWig7M78Xr9Vr2HrWSKyYw0cPhcGD37t0tc1eD53nIstywwZVRXGDJVqySobe3F9u3b9cvXKlUqmX8i0q1wplBvqhs1gK2ZcuWklHZzR5/DVxcx1r3z1wRKxqN6kbdmzZtgs/nq/icVmlFTaHlc7/8pRZ53denqQbJJBx/8RdI3nij9rvFWCHYchwHpyjC88wz4KamoG7aBOVtbyvYysImn/mMk413NIsZJ1djLsk7gMHrFZz5Dx6cA1AzBN27FLi7zBewrayoOfs0j9d/IKJ9UAUIMPHvAjzdFKO3N29qmhG6YQMyH/+4qctUFKUlhJpKaWZhx66oaSyZTMYWaupAMQPl8+fP68EqDErpGmGHGSizx6LRKH7nd35Hvxa3tbVBlmWcPHkSJ06cQHd395qvzs7OmsZG586dw4c//GFcuHABHMfhN3/zN/HJT36y6uXZWIct1Ng0FcynplmEGkopYrFYllmt0+nUW0iYmHD69Gl4PB5LRJrINJBYJPBvoXCZ2ILscrkgSVLdhBrWEsb8ZeLxOLxerz5hLpZsVQ/xwyysaCszRmWHQiFIklRTVHYrtBkyIbFS2DHLRKxYLAav16t78ZjhY1RpulehiTqJRjUBg/3N5QJCIc2now6TnnJTnyqCUoh//ucQH31U+2yqCvnFF5H+7Gfzik/VTD5LxZwzYYeVwheacHbsdGBr0AkpJMDlBwIjtB76mKksHuUgtlG9EsjZQbHwKtcyQk05JJeAMz8TkEkCA1crCGwtLaatR6GmUuop7LDHL1y40BStWJcatplz40kmk2hvb896jFWMOhyOovOal19+GYA21lteXsa9996Lj33sY0ilUlhcXMTExAQOHDiAhYUFLCwsYGlpCYIg4LnnnqtqXQVBwNe+9jXs3bsX0WgU+/btw80334wdO3ZUtTwb67CFGpuKYeXqVrTONDqiW1EUrKys6GlMkiTplQrFJnkul6vi5KdyePEvObz81wI4gYIXgXf9k4zeveZsd2YobJUoxuKemcjFknKqERdaIa6ZwVqfaqFYVPbOnTtr9uYx1WPFIgRBKGsdC1UXBYNBy1oPOY4re/ux82U+1G3bAEEAIhHA6wWZn4d6xRV1EWnYupl9XJG5OYiPPw7a26sLNfxTT4H8+q+DFvHCKZdKjZNlWV4z+TROPNPpNBQowAqAV5DXeyD350r9T6ycRHl6KGTDpSeTIE0TX24GySXgyftdiM8TEA44/qCIt3xZwobLTRYYbWoSdi5cuKAn9DRDK9alBGsjtWksqVQKPT09NS2D4zgEg0FEo1Hccsstlv1f+/r60NfXBwBob2/H+Pg4ZmZmbKGmCbGFGpuqsFKomZ+fN325hZAkSRdlVlZWQCnVzWr7+/vLHrC43W6Ew2FT123uCMHLf81DcFNwPJBJAI//FwG/cSBjyl1fl8tlavJTOp3WRRm2LVmy1eDgoCnVRq1w18jhcCAej1f0GhbXXq+o7GbfhkDh9ixjZVYoFEIqlaqpuqgaKhW6Cu23tLcX0pe+BMdXvwqyuAhl//66JghZUlGTSmkCDZtscZz22RuQMmc0fvR4ijnraOSWqbOJZiQSyRZ2Vv/3HMfljV/O/dlKRt4hY+4VDuFzHAgA7waKbXc1d1tjJUw+JSCxQOAb1MYbqWXgyD+JuPl/SyVeaWM1RmEnFArB7/cXnaia3YrFvl/qwo5tJNwcJJPJsucM5SynXuO0qakpHDp0CFdddVVd3s+mMmyhxqYqLLs76PFYUpkCXPSqYMJMJBKBw+GA3+9HV1cXRkdHq24Dcrvdpsddh88QEI6A47UBquDWWqDkJCCWnnOUpJYqIGPkONuWgiAgEAjUvC0Lwcqrm70Pu5y2ImNUttE02Y7KvggTQ/K1ffl8PgQCAYyPj8PtdtddeDLDoya1Aiyd4EDVvej8y3+GO2jmGpa/XmYL7rS/H+rQEMiZM4DPB0QiWrrP4KCp72MF5ZapM5ixpHHiyYyTc+NhOY7DuXPnChomG/11Kpl4OtqAN/9RGsuvc6AqENiqmnJ9aBbkFEAMm4NzAHKJottWqb5cT5TjJ9Zoj531KuzUO7zAJj9mhR9MTk7WLfEpFovhnnvuwde//nX4fL66vKdNZdhCjU1VWDUxMrPKg03wmDDDvG9YlUIxT5RKYW1EZhIYpqAq1VNJMnGgrY9CMCmR2uVyYXl5uazn5vp+xONxPSmnv7+/rKScWmE+Nc0+IMn108knaomiuMbnqN6wKPlmG7Sqqqq3H87NzeHUqVOmtn2ZQSmPmkwCiJ3XJpjtA2v/nlwCXv5LB6QIAQiF6OGx/3cz8PbUd4LJ9gFTEUVIX/saxK9/HfzJk1CuuQaZ3/s9oMmP22ooZixpZGpqCh6PB52dnQUnnsbHmNBQzF+H/SwIAgQnQfeu9dkK1H+1ite+D0hh7TqYCnEYf19r+JVdSliR+mQLO+UhSZJdUdNgzDQwn5iYqItQk8lkcM899+Dee+/Fu9/9bsvfz6Y6bKHGpiqsjOhm6R6Vvkc6nc5qY1IURb/zPjY2Zumddys8VLp3Ulz7GQXPfUUAx1M4fcDt/yibZnbpdDohSfnLx41VDMvLy0ilUrpXz8jIiCmGrNWub1tbW13ft1JEUUQymcTZs2d1M1uXy4VgMIiBgQH4fL6mGPix1qJGC1/MF8rox9PR0QG3241gMIiRkRFz35BSYGoKJJ3W0paK3UWKxYBoFOju1rxkVinmUZNcAo78vzykCEABBEZUjN4NCIbNPP0sj0wC6NisTRhiswRnf8Zj/Ffr27JilfcT7exE+o//2PTltirselbJxJNSmnfimRtzbmwPLCTsGH/neb4lWh8ZnWMqbviihCPfEiEnCcbem8bYPYWPk2YUny8FmiH16VIVduxo7saTSqVMaXsCtIqa0dFRU5ZVCEop7rvvPoyPj+P3f//3LX0vm9qwhRqbqrByoMcm5MVOevmqFHie1309tmzZUvcLl1lxwkYu/6iK7XemkQwRtA9QiCYWExirlzKZjC5yLS8vQ1EU3atnx44dTVHFUExYaiSUUkQiEX3bxeNxSJIESqlpKUNW0KhWMlmWs4QZVVXR0dGBYDCITZs26eszOztr/v9bVcF9//sgBw9qHipOJ5Tf+i1gYG3ZC3n8cfB/8zfaL52dkL/4RWA1drNY69PkTzjIEkXHakJn6HWCxeMcei+/KIhk4gS8YbPzLiBjTcdnUazyGrOpHZZYJQhCRcbJuW1Ya4yTFUUXjkqZulZjnJyzUiCLi9qPXV1VR8737VfRt7+8c4Et1DQGKypqrGa9CDvpdNpuW2kwqVTKtHHy1NQU3vzmN5uyrEI8++yz+M53voNdu3bh8ssvBwB86Utfwm233Wbp+9pUTmudVW0uCVjyk/HiyQxEjZNhj8dT19abUrjd7rzxfDUvtxNwd5o7mUqlUno72PPPPw9CCAKBAAKBADZv3tyUd2eaJaKbVRsxoYFFZQeDQd3M9vnnn8emTZsavapFKWTWazb5jJIDgQCCwWDRfU0QhIpNmUtB3ngD5OWXgS1btEljKATuoYeg/t7vZT/x9Gnwf/VXQGcn4HQCCwsQ/uRPIP/DPwAobsKbXNZ8Qxi8E0hHCLT6Go2ey1XMHuCRjlKAAOkV0pAUG0vMhC1EyQCLxzjIKYKOzSraeltDZKqHCbrROLncdcrnrxOJRLIeY/tHucKOfh1OpeD4sz8D/+KLAADlmms0o2yTri0rEwSnHhUgxQi6dyoYfocCwamdnxvRSnqpY5Y/RzNTrbBjFHWMwo6x1ZFSWrWwY1fUNJ5kMmmaUFOPipo3v/nN9k2aFmF9n1VtLMPqiO5oNApVVfXJnSzLerLL1q1bLYncrRVmzmu2UFMrzESZbctoNAqHw4FAIABRFLF///6GlyyXg9PpRCwWq/v7sgoQ477Iqo02btzYFNVG1VCO6XElqDIw+xJB5LwM+MNA7xzC4RWDCBhE5vBWHPuOA5MZgu13Kej6zcIigSVCUiwG8PzFO/s+H8jS0pqnkZkZ7Tms77+rC2RyEpBlQBCKnnuC2yjO/oKD6Nb8pRQJemINo2tcxWUfzmDqJzwAgh33Zhoi1LRSRY2SAQ7+jYjF4xwIBxAe2Pc7GXSNtY7Q1EwYjZPLIZ9xMmvFyuev0/fkk+j7yU8g9/ZqXj4//SniGzZAeve7s/x1qrnBklgkOPrPIlx+Cm8PxdxhHoQAW+9UTPWKsCmfVkhkrDdWCTu5FTvRaBQcx2FlZaUpWrEuRZLJJDo7O2teDqUUCwsLenS2jY0t1NhUjZmD/GQyqU+GFxcXoaoqent7LYsntgJWUdNo8lUfMRPlTZs2ZZkoh8NhKIrSMkJNPVqfCkVl57bmFKNZjXqNmCXUSJKE0NIyXv5bHnMvi+BEQOTcGH/vAN70/q36XdazTxMc+jsB7i4KwUtx7PscnB3AZR/MP9G2Qqihvb3aD8kk4HIBs7Oge/asfeKGDSCqCroqzGBlRXttGXeMh66nyMRVzB3iQHhg253KqhdN9iSmd6+K3r2NFRlaqaJm8RiHxeMcfJsoCNHMZV/7voDrP195ld3icQ6H/1FEJg5sf6+M4VvKT/CqhvUwiS3XOJkh/vCHIN3dULxeKKoK6vGAO3kSoVCopHFyoaodYVUkjZ8nAL1Yuda+kWLhOG8LNTYtTbXCzuHDh7OMyksJO83msbMeMKv1SZZl8Dxv/w9sdGyhxqZqqh14UkoRjUZ1YSYWi8HpdCIQCKC3txf9/f2YmprC2NiYyWtsLW63G0t57s5bjSzLWca/mUxGrz5irTiF/lfMp8YsEzQrsar1ibWBMRNqnuf11pyRkZGqyrnZujbzdq1WCGHbi0WLC4IAR7wHqVODGN4ngucIlAww+1OCy98j61eZmRcIOAeFsLpJnB3AuWe5gkJNpRHYZdHfD/XXfg3cQw8B8/OgO3ZAvfvuNU+j27dDufdecA8+qHnZuN1Q/vAPy3oLXgS2vYti9DZlNVaYIp1uzsl6K1XUyEmiVdKsbkLBA6TDlW/P0BsEP/yAezX2meLcMwLe8hUJ2+6sr5HzeocOD0M4dAhcMAgRAFFV8Hv25C3pZ8bJ+WLO8xknJ855sDC7ETFem9SoKQdEB4eFhTgymYzu19NqxsmtSrPflFivMGGH4zh0dXWVfH61FTu2sFOaVCplyg3lc+fOYSCPZ57NpYst1NhUTbkDICYkMGGGJfcEAoG8ZquKojRFZUqlsNYnq0mn01nCAqv4CAQCGBgYqEgcsCJW3CrMEGpyTajD4bDeBmZmVDarVmlmoYalU5UimUzqfjxsewWDQfT19WF8fBwcxyH0BsFZNwd+dbzGCQCo1q7ChBl3F6CmL3q1yEnAU8R7ySoPHbpnD5Tdu7U2piKVZOqHPgT1pptAIhHQ/n6gwpZGwmmfTVVVKIoCVVX18xxrHWU/M+o94LWyokYKA4kFAk4E2jZS8DUW7XVsVkF4QIoAghuIzXAYvKHy/eP1H4iQE4DTz/ZDil8+IFoq1NQs0lEK7uRJcG+8AerxQNm3D/D7zVtBC5B/9VfBHz8O7uRJAICyezfkAhGwRuPkclCuoDie5DB/DKBUAaEK+m8LIRZLIBqNIh6P48iRI0WNk/NNOG1vm+owO0TBpnyM15VS1KsV61ITdoweQ7VSr2hum9bBPrPaVE2hi4MkSVkTYUqp7unR399f8iJhyZ30OmBF61O+dCtBEBAIBNDZ2YnR0dGaBkgul6spk5TyUc1Eh/nzMKEhNyrbKhPqkqLS1BSEL3wBOHsWdPdurVojGDR9PYohiiIikUjWY2x/C4VCCIVCiEajcDqdJbdX+wCFOwhEzwOuDiC+QNCzS80y1R27W8XUTzhEZwhAAGc7xeUfK3ycW2p2TEhRkUZn40bQjRsL/tk4AWeVKaqq6gM3hiAI+mCW/S33OQCyznvsb2x75wo75ey3qWUgdoED76Do2EzB5cxDraqoSSwQnPqRAFWhgKoJNVtuVWoSa9r6KPbdn8Hx7wmQlgkGb5Ax9p7K94+8H7fJi4q4I0fAP/EEqN8PTpJATp2CfO+9QFtb6Rc3Cq8X0le+AnLmDEAI6KZNmj+UCfACwc73UwxMEsiSgLZeDu7ODQCApaUlrKysYGRkRH++0TjZWLWTTCazflcURRdRS7VhiaK47iac1dKKiU/rBSuTG80SduLx+BqDcnacrQdhx8xo+snJyaxzl42NfWa1qRo2yM9nVOv3+9Hd3Y2tW7dWdQG3Iuraanier/nuNKUUsVhMby2Jx+NwuVyWpVs5nU6EQiHTllcPit2dzheVXax6yyocDkdh/5doFOJ99wHhMOD1gvzsZyDz85C/852q42urQRAEPb6X7W/RaBRut1v34zH6GRVDdAPX/oGCYw9yiMwSbHqLih2/qmZ9HJcfeMffyzj/EoGqAL1XUHiKVGs3u38Kx3H6xC5XdGGDUOO+VupufT4hh/1ufJyRT8xmd/UIIYicIzj+oBNUBlQF6N6pYvs9yhqxxgpmD3AQPCqcq4mxkXME0WkC/5aL608pMPsCj+VTBG19FENvLb1uXeMqbvhCbVV1298t4/iDIqQIAcdTUEqw+2NFlrm0BO711wFCoG7dqiWBVUEt5x3upZc0jySXCxQAOXcO3MwM1O3bq15mPeBOnQL/5JOALEO57jqoV15p2jmO44HAKEWuypavDacW4+R0Og167hzcjzwCrKwgvHs3FvbuRUaW9WOS5/miE03283ptwzJzompTGZIkNY2H46Uq7CSTSdOqpycnJ3H77bebsiyb9UHrzIJtmpIDBw7A5XLB7/dXNLErBYvo9vl8Jqxl/WCTt3JLqFnUMxMWUqmULiyMjIxYLiwwj5pWgVWqsIFJOVHZjRgci6JYsKKGnDwJRKMXK2i6ukBeew1YXAS6uy1dL6MQOD8/j5WVFWQyGQQCAWzZsgXt7e1Vby9vD3Dlfy0urDjbgc1vK698odkmNbkVMx6PBy+88AJ4nofT6dQnZPm+hBJJUUBlbU9GUSff75RSnH5MBO9S4ezQHps/StC5S0Fg9OL/iLWGMNGnkmqdYmQSBLzz4v+Z4wHF0PYGAK9+W8DR74ggBKAqcPZpBdf/z/Sqr491BLepuOPBJA79vQg5SbD9ngxGbstf2UWWliA89JD+O3/4MOT3vAfU6dSqQzyest6z5qolQrJLgVrAV4hMTkL41rdA/X6A5yE+9BAyggB13z5L37eS628hjMbJZHERzq9/HUilQF0udD36KAa7uqDccUfWe+b666RSKUQikazHjMbJpWLOyzlnNAt2RU3jaOVobiuFHaB+rVhmRnNPTU1ZHs1t01rYZ1abqiGE4JprrrEsorsVhRomfHi93rx/z2QyWVHPiqLobWE7duyoe9RzK7U+AdoAd35+Xje0bdaobBaZmRePB1AUbbJFyMWfLfCzYcbdTMhiFUbBYBDDw8M4deoUrrjiCtPfdz1QrJWJEIIdO3aAEKJP0tiXJElIJBJYWVnJarVgrzNOygp9lRo45v4938RUSQrwBCg4EaAqhSASqGkO4fDFtlQA6O3tXfP5ZFleM0k09uDnVgvlro9/RMXcKzw8G1Qoq3qlp/uiQJSOAcceFOHdQMEJmpfRa98T8cb/FeHuorj2cxI232Rd+2v3ZSpu+evS5z3y6qsAz4OuCqhkdhbCn/85OFUFCIH8lrdAefvby64SycSByDktXty3SYVQ5o1w9eqrwT/+uNbqlEqB+v1QBwfLe3GD4I4f1+LtOzoAAKosgz94UBNqYjGQ+XnA4dBaC028A262sS13+DBINAp1aEhbvssF4dFHs4QanufhdrvLuv7kM05mMedMODcaJwNrhZ1C/jqNEnbsiprGYbxxtd5pVmHHTKFmenoaQ6vnGhsbwBZqbGrEKo8Dt9uNRCJh+nKthvnUMKHGmCgUDodBCEEgEEAgEMDmzZsbfifEUh8QE2BR2aFQCCsrK0gmk1BVFf39/WVHZTeCYq1PdHwc6g03gPvZzzSBhuOg3HdfxWa1+WDR7MxjJplM6hVGW7duhdfr1QfzzOTWRqOUMJMrTjAqnaTlDhrZJM34Oxs4GlsqjFU7bMDodDoL3nnvGldx/pXKjekAACAASURBVGUCIRhHJJREZF4GtzCNnjZvUX8rY7tZvjYs9mV8Xu5+FNwJKLKA5Td4CE6KzbcocPoBVV2tOlzVSMiqvrR0gkMyRNA+oEIKAz/9fRfueDCJ7p0Nbn1TlCwRhjtxAlhYgHrttYCqQnjqKdDBQaiXXVZ0MZRSpMMcDj+itVyBAt5eiss+lIFYRlGOunMnqNsNbmIC1O2GumdP2dU8DcPlAgznQJJOQ3W7QebnIXzveyCpFKiiQN2xQxM9TBJXFEUxt7qD47IrmLSduOrFVWqczBKscv11YrFY1mPsOl6qPYT9bKZxsl1R0zhYFbHNWuol7LCbyqy6qdqKHTYms0VPGyP2mdWmJqy6g+PxeFrSO4XjOMzOzmJ2dlb36zE7UchMjP4azVBmXSgqm00sp6enIYoiNmzY0OhVLUqx1icQAuWrXwV94glgZgZ0+3bQG26o6n1UVUUkEtGFGWPr1/j4ONxud8H/K8dxTR/NTAixLPq1WmGmFir1ysit1skn6hgFQSbayLKMlDeDZXc3lFOdaAs6cO3Hndh42e6S56BKt3W+NiyeB/r2q+jdp+h/Y1qOoijg24HgdhFLr/Fw+ini5wl4kUJ0UxAOSK0A518i6BxvbOwvHR8HXnsNWF4GAJALFzSfGkK0ShuXC2R6Gigh1ADA+eddkFMEviFtO0XOAXOHOAxcV54YRYeHobRQGoiybx/4AwdApqY0YcPhgPK2t2meNRwHdWAAoBT8sWOaELV1qynvazxfyBIgJwCxDVUbWStXXAG1q0v7PzudQCKBzCc+Ycq6lgOrwhNFsWClrhFVVfMKO8ao80wmk2WcXKoNq5RxsizLTZ1wuJ65lCpqrKZaYefVV19FZ2enJshXULFz5MgRzM/Po6enB729veB5Ht3d3U0xFrdpHmyhxqYmrBRqmj2im1UvMGEhkUjoJ/pt27aZ5tdjNaIoNqR02ZhoxYxsRVFEIBBAb29vXmHL4XC0RKtWydQnQYBahWGcqqp661woFEImk4HP50MwGMTOnTubpvXLLFjFlxmVU7nCzNwvCY59V4Cc4rD5V1RsfZcCjmuuAVKpah2jR1MoFEI6nUZ7ezv8fj+c/U6oW1Wk01oL1lI6jfOvrB00FvsqxwC1nDYs4/oybvxiBq/8NbBwlIfDBwirIg0FAALwHu3uYqGqr7pEnKsqEIuBP3IE6tgY5Le+FdyZM9rfKNWqQrqKOGKDPZUiEyUQ3BfFQN5JkI421/5mKn4/0vffD+74cRBFgbptG2h3N8jKCihLqyIElOdBkknTgreYR83yaYLXfyBCyWj71vj7ZLT3V/EugQDSX/4y+MceA4lEoFx1FdT9+01aW/MxHtfloKrqmjYsYwSz0V8nn3Gyw+FAOBwGz/OIxWLr3ji52WgmM+FLDTbep5Sip6en5D6fW7HjcDgwNzeHY8eOYWlpCRcuXMD09DT27t0LQLMm6O7uRnd3N3p6evSfb7zxRgxW0fr60Y9+FD/60Y/Q09ODo0ePVvWZbeqPLdTY1IRVF+OiFQkNQlGULH+ZdDoNn8+HQCCgG9dGo1FMTU2hY7UvvxVgvjpWCzXForIHBwfh8/lKTrKcTueaSOlmRBTFwqlPFcD2ObbNmCdPMBgsK+q+HJqlmioftQg1xSpmVk5zeOYLDogezcPlyDcFcDyw9Z3NmzIFZFdQLS8vI5PJ6B5Ng4ODFW2nfNU6yWQS4XAYmUwGkiRl7cPleOtUUq3j7QRu+J8qABVnf6HgifsdSK0QEA7o3Kpi/E4O/OrnyWeabHXEOZmfh/Pzn9fadxwO8C++iMyHPgSaSIA7exagFMrevVAvv7zoZ2YEtik4/zMCwUNBVa3Swz/S3Ptbzfh8UK++OushdWQE3OHDoIODgCSBqKruAWQGqqpClXiceliAw0fh8QBSBHjtXwXsuz9TVWUN7eyE/OEPm7aO9SCxSBCeInD6gMDW7AQ+IxzHweVyVVRFUEjYYe1YTNghhOjCTrF2rFYyTm420um03SrTQIyJVKXIrdi5/fbbsxKevvvd7yISieDTn/40AK3CfGFhAQsLC5ifn9e/h8PhqoSaj3zkI7j//vvx4RY7l13q2EKNTU1YdXElhOjxvI2qSkmn01ltOJRS+P1+BAIBDAwM5B3YMI+aVsLpdCKVSpne55xbcWRGVLbT6WyJippqjwtZlrOEGVVVdWFmaGjI9DtnPM+b7+lgImz9yqGSVqbzr/AABVwB/dWY+gnfdEKN0XMoVxzeuHFjTUJdpd46sixDkqSsSVokEtEFnXQ6rf+vKq3WGbpRxbsfkjD7IgdHOzB8q7Lq3VJ+tQ5gbsS5+PLLoPE4KDN2dDgg/PznkP7kT0Dm5gBB0CKzyzjWKaXovjwDB1Ew8wKviYLvkhHcWkaFB6Xgn34a3MQE1IEBKG97m6nmu/VGeetbAUkCf+IEqNMJ+a67QPv6zFu+okCJC1Bl6P4/Th8QnSbIxAA+UPz164GFoxye/WMH1AygKgTDt8q44uMZU5LR8503FhYWMDIysub6VMg4OR6P62brzF+HCTvMOLmUv44t7GgYTd5t6o+ZFU2Tk5O48sor9d9dLhcGBwerEmXyccMNN2BqasqUZdnUj+Ycndu0DFZHRxuNea2EteGwSXIkElnjj1LOZJa1EbUSZiU/1SMqu2RLUYshy7LexrS8vKyLgcFgsC5m06xipVmFmmJm17V4zAguLRKaoaQBoQm6xnJTulKplC7M7Nixo2E+EEafjHJgJd7GO+4srtjoncH+Z/pE7CptMjYXEuGIObIMlMvx9zI14tzg37X6BFBVRYYQoLdXe8yQjlWsWodSCo4nGLpRwdCNlRl4i3/xFxC/+13N2JjnIb/rXUh//vNlJ001HS4XlLvu0kQyjjP9c6iqCmdAq8ySU9qxnokDvJNCtH4o0RS8+DUHeCeFp1tLfJt4QsDgjYpl5tyFriFmGSdHo9GsNqxCxsmFqnaazRvQLFg1h03jMDPxaWJiAh/84AdNWZbN+qE5R+c2LYVVyU8sotsKoYZSilgspld7sDacQCCA/v5+7Nixo+q7FGx7tMoF1OVyFY6SLgKr/mDb0BiVbVZbTi5mtRTVA47jdL8EhrFKa3l5OSsFbHh4uO4lzGx7lvO/ohS4cJDgwkECwQNseZuKNvNuhOfFKNSYaf47dIOCU4/yiJzVJnSEA3Z+sP77FTsPMWGGpXQFAgGMjY21rOdQJaaMuZMz9hWNRrG0tKT/bqzWKacNq2ZvnauvBv9v/wZcuADqcADxODIf+pB+jK4RdvJU67CKqFgspn/GStqwyMICxAcf1CKueV5LmnrsMWQ+8hHQLVtKbtumxqLJs6IocPk4bLtLweuP8KAqASdSjL1HBt+cIYGmoipAKkTQNqDti4TT0tWkFevGI4qimFLVUY1xcm5KTyaTyTJOTqfT+nFZrrDTKhUqmUymaZMvLxVSqZRp1+kzZ85gdHTUlGXZrB9socamZqwWasyAVXuwCXIqlaq5DacQrJWoVSZZTqcTCwsLJZ+XTqf1iiNjK1gwGKxbVHariF+AVv0Ti8WQTCYRCoUQDofBcRwCgQC6urrKrtKykkqEr9kXCY7/Cwd3UKtACZ3kceUnFbg7rVk3ZlwZjUbh8XggCELWJLeWVCZ3EHjbV9M49zQPOQX0vUlFYNj6BKxcn6ZEIqGfh7Zt21Y0pWu9Us3kLFfUkSQJ0Wg0b7WOsZWimLfOmu3e1YX0F74A/sc/BmIxLZJ7714weSHfXXpWEbW0tKS3qrW3t2NoaAg+ny8rZa+cNiw+EgHluIsR0RwHwnEg8bhp5rv1JpMEzv2CR+QcgaeHYtNbFTh95i2ftUt3jqnY/zsq0jECh49CbI3Lcc1wPNC5Q0HoJAdvH4WcAgih8A1Z29bZiPMWx3FwOp1lt54Uil82eutkMhldhC3mr8N+bqRxMouDtmkcyWTSFE9KSilSqRQ8Ho8Ja2WznrCFGpuasTL5aX5+vqrXspYS9qUoil7tsWPHDktFFLfb3VJCTaHWp1JR2Y0SGayMbK4Vts3YRPzYsWPo7u5u2nj2Yq1FuZx7hoN3A+BYDWwJnwGW3iAY6DRnypivYqajowMzMzNYWloqOPl2Op0QRTGrTaacVhl3ENh2Z2VtKNV8pkQioe8P8XgcXq8XgUAAo6OjprQD1guqal9cg0cNlZifFqvWMf7ORBJjfLr+deutEEUHVo57sPx3FKKTx6a3UASGadb/NxQKIZFI6O2e4+PjZV8DCrZh9feD9vWBTE+DtrWBxONQg0FIg4OayXHOZ63GNLmeUAqcelRA+CyBp5NiZZJDcpHgsg/LVcdn52KsYhS9gOhtVUmreq78VAYvfMWB5VMcBBfFlZ/KwDdozXaw4iadVVQTv5zbhpVMJvUWTibsGJefK+zkijxmGifb0dyNJ5lMope1wtZAJBLRxXwbGyO2UGNTM80Q0Z1KpfRqj3A4DEJIXb0+jDBD4UCgNVwLHQ4HUqkUEomELjJEIhE4HA4Eg8GCUdmNgvnUNMqvw4gxXjwcDuvbrK+vDzzPo6urC11lxPc2ikoqaghPQdMXj3VKtbL6ainWygQgqy0s93X5Jt9G/5NajG1rgXldGZPNPB6PXrnn9XqbbiCmZLQEIsGDgpPlc89yOPUoD1UGeveqGHuP0hJtJNVW67BJmSRJkCQJ516SMfMfBLxvGemUjNde5BG86QzEzhQEQYDb7dYFGiYYsv20HOPTgm1Yogj5G9+A+Id/CO7ECdBdu5D+whfg8PsBFE6/Kqdah20fyyPODWTiQOQsgW81JrvNRRGdIUiFCLwbzJnwN6uIX088XRRv/aoEOal59NRyni6FqqpNMzYwm2oM141eOrkx5+y6xFrj2bmpmLBT7PxhV9Q0nlQqZcpYdGJiAsPDwyasUWE+8IEP4Oc//zkWFxcxMDCAP/qjP8J9991n6Xva1I4t1NjUjFUTDxYbnQu7i8mqPZioEAgEmqJyweVymdayZRW5Hj3xeBwnTpzQY37LicpuFI0SanIn4ZFIBE6nU4/KzvU1CofDTW98XIlQs+VmiiP/RJBJaK1PrgDQNV7+5KocYaacc0mlk+9iMdTGu6WMUqKOw+HI+j8b94loNAq3260LxGa2VJrCwgLEv/1bkNOnQbdtw9Id9+O1n3ZBSWlmyuPvVdDen/1/Cb1OcOIhHu0DFJwAnH9ehSM2j23vlLW0nmb6fDWSr1onk8lg5jEJLn8SaS4NVwcPr9COId8ejF7vKNhGwb5yjU+LiYW5+xYA0L4+pL/5Tf13svpVLiVNk0tEnLPnmFGtwwmawKsqWouOVqVFTK3SMluoySQ0U2Knr/HVZJVAyMXUKyvJZDINb+FtBozXpXLaVyilef11IpHIGmGHXRuNwo7D4cDKygra2toQjUb1v61X0axZMUuonJiYwMjIiAlrVJjvfe97li7fxhrss6tNzVgZ0Q1og8ZcUYG1DwwNDaG9vb2pRAW3242lpaVGr0YWxqhsVqJv9OiJx+O4/PLLm2o7FqJeEd25bQ3McJpFZZfa71rB+FgUxbJFxZ6dFPs+rmDhOIHgAja+icJZJNHdLGGmViq9K5o78U6n00gkEno0NYujVhRFjzZ3u91oa2vDwMCAXlHBosWbJko2nYb4uc+Bu3AB1O+H+txBvP7E0xDffwe8XRzkhSjO/uVZ7PgQARkbAVYnX+GzBLwT4B0ACa+g/eVfYOX5JMSfPgTlttugvO994F55BVheBt20CfSyyxoWHy3NRCGHJbg2d4D3VNdLoyiKXp3JDL8zdBM8Lj8GBjaAEILIOQJ/UIEo0rInZsz4NHffyhV22HHC2ihYa18+caecNoqSpsl51hMwJ+J8jajjAAavV3D2Zzw4EVAyBL17FbiC5rbPmHW8nX+Fw9STPAACp59i/FczcAdNWfS6QZblupvgrweMwm0lxsm5UeepVArT09P6Y+z4NFaSFvPXaYUxX7PCKibNYHJyElu3bjVlWTbrC1uosakZsychbKDMUlCef/553V/GrJhnK2EeNY0kX1Q2i/ndvn37mm3I1rkVjMwcDoclQo3R6JUJM0wQ3LJlC9rb2yva7xwOB8LhsOnraSaVeNQAQGAECIzkn1Q1izBTC8bBM0OSJIRCIX1Q7HQ6sWHDBgQCAXg8njVtWNVWVJSbVlT1Z5ud1USa1X76VFc31LMJuNQwxLCEwZ/9OdSlCPgLCrjLxyHffz8ginD6tQoqAOCeeRaJlAOdfSnQjRu1VKTpaRBVBfV4wL/yCpSlJahvfasln6EY5/7qVZz5QQwgWrXXzj8dg3u0dPupqqqIRCK6AbCiKHrb7JYtWyAIAmKDwNF/FhCd1qpAPF0UnTsqExeKGp/GYuAffRRkdhbq9u1Qbr0VCiFrRJ14PK6bFOfuW+UkYZUzKTM14jzPeaBnnwJnF4fkEoHTR+EfVqEopSPO6018jmDyxwK8fSp4kSKxQPDGvwnY/ZHyz5etBv+f/wnh4YcBWYb8K78C5c47S4qudkVNfch3/pifn8fw8HDe6mJmnJwr7BiNk43CsCAIJduwGmmc3IyY6UU5NTWFd7zjHaYsy2Z9YZ9dbUyhluSnfGlCHR0dCAaD6O7uxuDgYMv4vQAXW3PqiTEqOxQKZZknlxOVzapUWkGocTqdZXsXFYMltBiNXlmV0cjISM1tKw6HoyUqaqpdx/UgzORDkqQsryZRFBEMBrFx40aMjY2tmTw6HI6yKyoqSSsqZ+Jd0d08pxNUUQBFAXgeDhIHoCCTEbHh1e8CyRSkwCZgRAU5dgzcSy9BvfZabNijYu4QwdIJDsKsAEcHwdYtr2rxyuk0uMlJqNdfr33GQADc889rv9dx8hZ5fhaTD8fgGwA4gSB+QcUbXz6J3d+8es1zjZHooVBIF7GDwSAGBwfzej609QJ7Piojco6A4wH/MDWvrSSdhvjlL2vtaF4vhAMHQGZmQH7rtyAIQk3VOvF4vGi1TkFBhzow/4oDiXmC9gFg45vUvG0/1VbrdI1SYJT9zldVrQNYK+xIYQKQi75N7k6K2AyneXO13mmtJNyRIxAfeAC0pwdwOiE+/DDgdkN5+9uLvs6uqGkcxTxqKjFOppTmFXZyY86NN3VKCTsF0/TWEclk0rQW/MnJSTua2yYvtlBjYwqVCDXMgHV5eRnhcDgrTWhkZCTros9MbltJqDFGsFp1kTI7KruQH1Az4nQ6sbKyUvHrKKUIhyM49sMUJn7khEIyGH53GFuuc2Lr1q2mG72Kotj0HjWVVNSsV2EmnU5npZsJgoBAIIC+vr68wky1mJFWZPTVSafT+sQ31zA5NwHL4XBA2LAB6tvfDv6xxwCOg4NSbHsfj9fkdqgzC5DgQ9f46oTc4QCWlwFoE9U9H1UQPqOCk0+i4/xLEN2deuoQbTf0vxECqKpmRFJHpNkEoAKJRQ5KGhA9HGJnL1Z3MB+hUCikC7LBYBBjY2Nl3xF1BwF3mS06UgTIxLV2mVKx0GRqCmRyEnRwECAENBAA//OfQ7n3XqCtraz3qyammAmFxva+lZUVpJISzv4ogPgZBziPAiUuwv9cAoO3Rk2v1ikm7LB9G8jfhpX7FY1G9WuhUXzOFXPKFXUcPgqqAmoG4EQgtUzg6VXXpUgDaEINXC5gVRiknZ3gX3qppFBjV9Q0DqNoWQuEEAiCoLfxlvO+RuNkJu6Ua5xcSNxpNX+dZDJpSkUNpRQrKyvo7Ow0Ya1s1hv22dXGFApN0HJNa5nPRyAQwMaNGzE+Pl70QuPxeJq+fSQfrJrCLEd+q6OyW0moKbf1ibU0GO+cJ1/tx8Q3N8HdwUOgHKb+diPGLpPRZkF0aSMqqyolt6ImkwRWJglAAd+QCkfb+hNmMplM1rHEcRwCgQB6enqwdevWug4WV6YILryimaluvFJFW5/2uBmGyWzinWWYvG8fOpxOeJeXoQ4MIL3/cnTLp8FzG+E/+J8gns2QEypESQLdskVfPscDgWEK/OF7IX7lNMj0NEAI5PvuA1lc1OKjvV6QcBjqNdcAdb7Dznd5EZtbhOih4J0E0XMq2kZkHDt2DJFIRDd4Lid5S4oAclJrn6om2Wr2JYLXHxEAArjVRVz2jkV4LwsCld5ssPDYKubbFJ8DIoqAoWtXRREFCJ9VsbErBjiyhZ18omGhah1RFHUBsRpvHSNMfFtaWloTiz44OAhRFPN67RSr1mF/Y+/r7iYYuoni7H+IIEQzE956R/70rPUA9fsB4/UqmdQeK4Esy3byUAOw8kZgKao1TjZW6zDjZONjucbJxfx1yhWHrSSVSsHn89W8HFYZ1YrjKRvrsYUaG1NgJxjmjcImQqlUKsu0ttJ2ErfbjfPnz1u12pbBIrqrGcDkSxdyOKyNynY6nS0jiDmdzrwCiNGXh3mKsPavnTt3wu124/HvCGgLAM4O7TXxOYqJJwh6LjNfqKnU/6URMMNbAJCiFIe/ySM+T0Ep4PQR7P7oRfPMVhZmWPVZOBzWY7+7urowOjrasLt4yxMER77FQ/RqKTjzRzhc8ZsyvBsMTzp/HsIjjwDz86AjI5pnRPtaB+eKDJOvuQaZTCa7muLOG0HkRbgOHYJCCM7feCOWIxHghRcgCEL2pPt3fxeuRAJiRwdEvx8OWYb40ksgoRDU664D3bvXxK1UHulgD8TN85Amw1CjKngXRWzTVuwZaK/IbP7cMxwmnuRBiGaUfdmHZXh7yl+PxCLw+iMCvBsoOmZeQNdz/x9S/0nQsZdCue8+0D171ryGbt4MOjwMcuqUJnZFo1BuugkoQ6CrCwTgBB5tXi8c7dWLhsbf86WsFWv143ler3xbWlpCOBzWxbfR0dG8vnXVVOvkRpz37s8guD0DOaVVR/GiXkh2cfPUOeLcKpQbboDw9NMgZ85olV1tbZDf/e6Sr8tkMi3RMr3eSKfTLSOQ5fN+K0Yh42R2Hsk1TuZ5vmQbliAIph+TZrU+TU1NYfPmzbWvkM26xBZqbEwhmUzi4MGDUBRF7/cfHx+H2+2uaXLn8XhM8SOpN0yo6ejoKPlcY9URK813u911TbVyuVx1SVIyAyaAGE2nQ6EQZFnWhZldu3blvYDyTm1SzFBVrazdCppd1GCTEkVRMD8/j7nnPYicd8O/mQMhQOw8h5lnBWy7Uy2xpObC6Ne0vNq+Y2ytbJYy/ZnnOTh8gMcnIXjkh+BfP470ci+8n7sb6OwE4nEI3/62Zua5YQO4U6eAf/kXKB/7WE3vW3DQ/JnPALIMcBx8q+cb5l2Q66sTdjiQDoeRXljQ7oR6vYDXC6KqcBw5ktWCZaykYIPnWo+N3GSmxFkvEtuH0X1DBk5woO0dSCdEdHSUL5RGZwhO/zunx5AnFoGTDwvY+/HylyGFtc/lUMLY8Mp3kA72IBV3QW3X/peZL30JyBXTHA5kPvtZ3UxYGRuDesstZb+n2Xi6NcPw0CkCRztFOkKw4QoVjiIJb0bMSFkLh8OQJAnxeBypVEoTdlSC+LEeZKaD8HYG4btJGxdEo1H9jnS5+1cl11OXqwLT5EgE/KlTAAB5dBTUcLe9Xt46VePzQfof/wPc0aMgigJl+3btPFQC26OmMbSSUFMp1bRy5rZhpVIp3f+tmHFyoaqdcqr+JEkqex2LUY9obpvWpTlGrDYtj9vtxhVXXGH6hYPn+ay7X62Cy+UqKDCxqGx9krEalR0MBk0xsa0Gp9PZ9K1PbALOxKwDBw7ovjyDg4NlXTB3f1jBU78vIHaeIrWitZx0brfWT6ORJcq56wFcnGSw75s2bcLi4iJmp7xYiToRPpMCQCFHBYSPypCGw0Un3o2eZBgFu+XlZaiqqu8Xmzdvbu5JhEqx4blvwDfxHOK0E96TZyD+2RvIfP7zIAsLIMmk5l0CgPb3gztzBkoyuXaybxY5IpbRu8Asw2RjNVy5hsm5bYy5yUx0l4BDMwLSYSDjppDmOYzcXlmbSmoFIBx001x3EIjNkIrMY10Bqj03HAEokMm4ILgBzucGoktANJr/f+f1Qnn/+ytaX6sgHDD+PgUzBzgk5oH2AYq+fWuvwZFpAikMtG+kcFVpIWcUDdkNi1QqpbdE+P1+bN68GcFgEBOPO3DqBAePX0Z6WsXZ7ykY/y8LSCrJLO8mY7WOWYbcZXnrhEIQ/vEfQVZ9cuDzIf3xj0MNBk2NOM+3Pqbh9UK96qqKXmJ71DQGs0SC9UA1xsm5bViljJPzJWApiqJXztdinDw5OWkLNTYFsc+uNqbA+tKtWrYsyy01GHC73YhEIgC0QZixHcwYlc3MLBs9kRcEoekEMVmW9WqZ5eXlLMNkj8eDq6++uuIBa98+ipv/l4yffIoHpYArSPHi/+ZBOAXDN5sv2LDWIjP23cUTBOdfJuAdwND1F/1MClFImGGwkv3+/n4AQCclOHpeQFufNtmMzACjN0kIbAnmbWOQJAmZTCbLmyKfia1R5DGjzYgdT2y/YMJMIBDApk2bmluYMdB/jYqjr0pwv/YCIr7NAAgcY20g8+dAzpwB7ejQUppUVauqkSRQQdCMfpuUSg2T0+kMMok4uCeeAJ2eRmLzZoT37EF6deCcTCb1JCxBEOByueD1euF2u+FwOHTR2+FwYOeHHJh7xYF0lCC4TUb3zsqOZ3cQANWiyHkHkFwC2vtp2SJNdJbgwisc2vpVLJ/sRF/SAYGLoGtfGxBeAfV4gDI8P5oBdo4BtPPO0e/y4Hhg6EYVvkGK4//C48TD2mOcCFz7mQy6KowrBzSPh1AohKWlJcRiMXi9XnR2dmLHjh1r9qGzP+fhH6LgRAHoBCLnCNzJfmwoILTnVuuwdj8m6hh9MYC1htyFfHYKXau5554DicVAV1sYyOwshGefhXr33UW3Qak2rHz+YPmEnWpNk2vFrqhpDMUSn2wKY7z5UA5GY3/j+SQcDkNVVUxMTGQJzESzsQAAIABJREFUO6X8dQRBgKIoaDe0ME9OTuLKK6+05PPatD6tM/O1aXpqieguhtvtRiKRMMW0qx7IsoxkMomFhQVEIhE9KjsYDJYVld1IGln9wUxe2QSceYkwfyPjYHBmZgaSJFXluK9mANENDF6nTcLkJHDoH3ls+RXZdP9OZihcq1Azf4zg8AOcZu4rAxcO8bjq95Qs/4xyhZlCdI1RbL9LxtTPeFAVGHm7ioGreBBSOnmmUItMbiVFsUlRrsjDSo+N3kPLy8uQZVkXZoaGhlp2sBoYptj1UQLHywRcUEbbIA/RQ4ElqkVf9/VBvfZa8M89B8pxAKVQ3vte7W+tiKqCvPEGSDyOueVBvPJwP6SQgOsufA4bU8+B8kB7JgPl9tsxecstaGtrQ19fH4LBINxud9b+FV/JYP6XQEZS4Ni4COJNaoPldhloB8JxgulDYsEqMDZ4Nk5i2/ooRu9QcfoxHgCFyw9sv6e8tqflCYJf/D8iMkkAFHD52+D6o99C4MkHwC2HQDs6oHziE00tsuVj8TWCQw8IcLRpCUgLRwVsvVPGif/Do22j1iImRYADfyHitgfSJc+fTHxfWlrCysoKRFFEZ2cnNm3ahPb29qLnJ07Q2lZZqypVAZJzKKgKsHiMIB0n8A1Q+AbL98Uwtk8wEdpY3VOqGsx/dgZzp8Yxe3A3RJFi28BBbIzFSr5vpUJK2W1Yhs+Vi5ltWK12E229kE6n0VZmKpxN9RiNk40woWb79u1Zj+cTiNPptH4eWV5exqc+9Sm9gl0QBH3s++STT6Knpwfd3d3o6enRf+7u7q6peurHP/4xPvnJT0JRFHzsYx/DZz7zmaqXZVN/7LOrjWlYJdR4PJ6mFmqM8b7ME8Pv94NSakk7mFWwOOl6ldOm02l98m1M3yknyYoJINUINYqkDfDZnIBzAHLlad9lwdazVrPFsz8ncPmhtxhEzgEXDhMM36xWLczko+9NFH1vqtwAudIWmWIpRZIk6VU7siyDUqqnS7S1tenVFIIg6L5KZvieNAL/NhH8J94J/gc/ACJuYEGCunOnnrik3nYb6Pg4EIsB3d2gfSXKqJoVSsE//DC4AwcQk/x44Rf3gN8qwi9Ownniecz6gmjbLEHkOAw+9RQ2/Lf/BpJjpsu8T3jZjcPfEBGd0dp0RDdw9R/I8A1cvPYYzSiNX7FYLOt3o2eBw+GAw+dA73ud4FUnBMGBlZADqkOA21ugGiyTAf/gg3j977qA8Cg6dvWAbuhBdJrgzNx2+L7yJSixmBaz3UCBjUxPg/vpTwFJgnrNNaC7dpX1unPP8nD6qG4oHp0FZg/wIPzFFjFHOxA9p51XhZx7ELkta6qqIhAIoLu7u+KEtdF3Kjj+PR6iB5AloK2fIrjVYP6rAr/8Fo+5w5rHFgiw5zdk9O4tb0xSafsEu8vOvs6krsLc6QhcneeRSRC8/NwwurZGQV94ARzH6cIOEwyNQg8TE8s5h1kVcc6opFqHCemNbn+9FFnPHjWtQKFo7nKMk5977jn950QigVtvvRWf/vSnEQqFMD8/j/n5eRw7dgwLCwuYn5/HwsICxsbG8O1vf7vi9VQUBb/927+Np556CgMDA3jTm96EO+64Azt27Kh4WTaNwRZqbEzDqokSE2qahUJR2SxFhgkMy8vLLXUhZRHdVgk1kiTpA/ZwOAxBEPRY5G3btlU0aHc6nVWbH3eNUwguzSxU9AKJBWDLzaolabi58de1QKGlMVFKoSoEiqJAli8OqlsplcloOGr0bIrH40in03prYCAQgMPhyJp0S5JUke9JvnasZppYKHffDdrfr6X+9PRAveGGi14xhIAODzd2BU2ATE+DvvACIt3dmDrVhbhC0D75S2ALD8ElICN74PO5AFCQRAKkwDETnwee/oKI2ec5+IYousYppAjw+iM89t+vCYyUAqkQB8CJtqATpIQJbu6kW5LSmHhcxOwzLqiqCjEQx4Z3nQTn0c43rBqMxj1wPXIY/sNHEFXvBLgMcPQoqGMvOCGATAyaOFOGobylnD8P4atfBSgFFUUIL78M+ROfAL388pIv5TgK0IvnFKoCnm4VAIdMUhPJkgsETh/F/Ksc3EEVzr5EVmy2z+dDZ2cnBgYGaroeDt2gwhWgWDrBwdlBMXCdmiUMLZ8mmD/MoWOTVimZSQLHvy+gd685518jxrvs3lVB8ZyzH77rZ+Cafg0ABT+8E927ejF8tVqWdxNr8QOwNmkt5yt2xoW5lwXwAsHgDSra+/OLUWZW6xi/2DmbtSSza1xuxLnZbVihNwhSIQJXMFukuxSxPWoaSzKZ1I/9WmDnxP3799e8rHy8+OKLGB0dxfDqOOL9738/fvjDH9pCTQthCzU2pmGlUBMKhSxZdilqicpuNW8ds5OfmP9AKBRCJBKBKIoIBALo6+vD2NhYTX4ltQg1nm7gbV+R8crf80guEmy7U8We37DGn4dV1FSDcbA8cIOKww/wkCWt9Yl3UPRe3pp3MimlWWbaqVRKF2byeVMAKDsBolCKTCKR0OOoy/XVYY/Xsp8ml4DXHhIQOQf4BoHx98pw5wSpqJRguesqoOsqdGzR7GjWA8ZkptSrr2Lj0hK49nZ0+Hk4PW3wCGGg7zJkxCDc0jyQ8oKsrEDduzevuCFLwOEHBCTmAMEDSCsEc78k6BxTIUVW3zMDHH+Qx/yr2kbsGlex89cUCDm7TmSaIDGvCQz+EWRNuhePE0QPCugfp+B4IDobgGeqF5d/VBNFVVXFwkkZB78lgnsmhCllCArHISF5ABpB8tQ8Yi4O7Z7TeOGFmN52ZayoqKchN3fwIJBOI9M9BKoCIi+Af+opyGUINUM3qjj4dwJUWWsr4kVgy6+oCAzLePlvBKSWADmtgvel8MzfJZFOpdF7YwTb3sFnxWbH54CJf+OQSRH07lXRXYWfDQD07KLo2ZXfJFpOZVdKCk4gubDaLlWHYiZXB0Ui0A/HmOb5pUwRONovtnpW4t2UW62TTqd1USf0Ooep/9MD3pkBVQkOP0EwfO8c2jeioLCT2+bHkCJAJg64gtr2Klatk0hoAtzS0pKeaBkMBjE8PAye59dU67Dvpap1gPIizk//O49TPxJAOE0wHH2njJF3VGYYvp6wK2oaSzKZRFdXV83LmZmZ0X0CrWBmZgaDq4EEADAwMIADBw5Y9n425tMaM0iblsBKoaZeEd25UdmxWAwej6eqqGwW0W00DWtmakl+yidoOZ1OBAIB9Pf3Y8eO/5+9N4+P66rP/9/n3jv7SJpFi63Fki3vduzExNkTsocsLKXQNlCWUqBNC01oy/JlKy0FWpaUpbQlP0rblLVAKZCFhISQPc5qJ3Ecx7slL5JmJM1Is93t/P64uqMZeSTNWCMvoOf10suWNLpz586Zc8/nOc/nedbWtRjxer1kMpnj/vtoL1z5hflf5Hm93qoJpZk8ZuKrYdNNkqPPqKheZzc51Hp6qGemfqZyuRzhcANhT5zl3atpiNUvwaga2XHpeZW2YLlETrW+OpUIntJIT8uArd/USB0QpPYLDjwg6HtI4TW36fgmrAX0LNz/AQ9HnnXaNVo32Fz1ZQPvFOuBdJ8glwBfFCI9p+ZOstvm4r7PpmkWi7meyy4j8MILjkKoPcXR2AscHD0ThqNsWf+vXBr+R8j3YZ17LubNN1eMWcolBYW0IL5aMn7YaVksjELmqGDZNc57dOgxhaPbHFUFwNB2hb6HJEuvmvwsHX5SYfv3VYQAacGSV1us+p3J32cTAqFNFveBuCR9oLx43HdnkGAjBNsNRGqUEaOLVW17SRwIEeho5KJbQnRdvH5G4rD0+1LicDZD22piY0shpWB4lyCxTUUISWMQmq+o7u+jvZJXvc90TMw90H6uTaDFpuAZZvVHhxnYk6H/B12EulTCDUG8WoTMrkW0/YGBL+ReT3jqq54iwXz0aY0Nf2TStrGkgNdh188Vjjyj4A3Bqt+1aF5d2zhv7JKoPocc9TbA+BEnVvxEkDQAS6+2GN2nkToISEHjEsmiTbVvAFRS65Ri62MqS5aLYjta+hA0jkfo7MqWzWXj4+Nl5PRUtc7Y9ggDDzSjKiq+BsEZ78oT7daK5LRlWWV+Qj6fj3g8zooVK4oEXC2o1VsHJomdQkqw604P4cUmqkdgm7D7TpVF5xgEJtqBT8dNi7lgoeXs5CKfzx9X6/1U7N27t6h2mQ9UsqM4XZTXC3CwQNQsoG6Yrw+/650yH5jPqGw3ovt0IWr8fj+pVKqqx0opyWazxes2NjaG3+8nFovVTGgdD3w+30lTWdUCj8fD+DSGkrWa/8ZXQnzlqb+DKKUkk8kc85mKRqOsXLkSRQ/w9D972L/bISfW/J5J77W1FTRSwsBzguFXFHxRyZKLbTw12gDV21dnavKDHA9xYFsPY7tDqB6B5oejL2g8fZvF5vdZeDwett6mcfgZp40HCUefVXj6XzQu+NCkT1Dfwwov/1gt7iT3Xmux7Jry6zV+BA49rmCbgsWbbSJL55/MKX2fk8lkURkVi8VYv379MQoo6z3vQf3xjxGJBGf/4TCdKyPotklT9yI87bcy2wyv+STSgkDcScwa2KZgW7Dqd0x6rnCuR7pf4A1PJjV5myTpvsnPkGXAyz9WCS+SaD5HbdH3iErHeZLwYueaBVskWJNKjFxC0Lyu/HoXUo6qR555JuLXDyAyY3TGtnDujRbmh84Cv/P4WohDcMaYO5aKxsmZDCMjI8fExpYeeyYlxRG5GZG4n6ZQP1LVMAdy7PO/je6qzgiaum3U+DjJZJJXDg+j73dis2PNMRZFlmI85KextWS8KY66xTchikpsVzDz0LTEeYzqkRx4QKVt4+QY332nQt9DKuFOiZWHrbdpnPdBs/ieVAN/BM5+v8mOH6jkhqHjPJtVv3vi5stQK5xzi0nqoEBRIbJMos6D4EEIoOSyCCnw+b00Ns6+nHfVOqN9Bn2P+GlcrCMVk2xS8tRtFl1/uKsYU1yatBYOh/H5fEgpSafT5PP54hgb2ekjsU3FE5J0XWITnEZkUIu3DpQTOXkDFEWgeRXHCFkDISRG1sbb6FyMakyTT0jE+QnAyQx9WICDeqnl9+7dO6/R3J2dnfT19RW/7+/vp729fd6ebwH1xwJRs4C6Yb5uHEIIFEWpyw5CaVT28PBwmR9GvaOyA4HAcStUTgb8fj8DAwMVf1dalJUqjWKxGD09PbMmdtQb1bYUSQlG1vFSECdhXVZ6nnNNZTpVMZW0y2QyhEIhotFoWfuDi6f/XWV0j0JDp8Q2Yfv3NJp6DJrXVF+U7fulws7/VfGGwcjD4FaFzbeYx7S41BOlvjqzwbZtxpMG/ZYfIRWEYqNnJKgm+x/LE7h0J4Zh8PLDK9EJkR62yR0OYKQ1nv2GxL9imCUX2wjTx0s/aqJhsY3mc3aS9/5CZfFmu7ijPn4Unvyyo1hQVOh/TOHs95lEl9efrMnlciSTSUZGRopxyrFYjFWrVs06d8r2dsz3v7/4vRNYVj1BF4hDzxUW++5zSKvWDTar3mDRdfHkMRo7JUeeVgjEndeupwSNF0z+3iqANCmOE2WiVcYsmabjqyU9V1scuF8FAQ3tktVvLC8C2860OfCASmNnlMKFr0EeGCf0zijm5SvnlOxk5VRe/u8GkjsVIstsznibhb+z8mMrGSZXUlIc3dqKvvhPaB98DA2dke6zIbkEtb//GFWYWzxXG5ttGRBslmQGBIG4JJcQBOPymPY+pgzFqcNkYKtCuF2iepz2qtwwpA6KmogacMig8z5Yuxl6veBtoKZYeGk7pJ/i4RgV3XRYconNs/+mYZsSaTnqr2qVO65aRxS8+PwaoUaVbDaDCOZIHxRowkdv72Li8Tg+n29WU+6hZ730/bwZNWgiDYWtd0uWv3OAUFyd1jx5OkWYkXXasHwRZwyUrvUa2qChTZAbVPA3S/IJQbhNEunwoXqqizifer89lSLOa4VhGAuR6CcR9VQz7d+/nyuvvLIux6qEzZs3s2vXLvbt20dHRwff//73+e53vztvz7eA+mOBqFlAXTFfyU+uOqVW8y7TNIs+CSMjI1iWVYz2ne+o7EAgQDKZnLfj1xuumTBMtqu4xEwmkymqIuaqNKoHqvGoSffDk19VyQ4IfE2Sze+3T6gBoZtWND4+zujoKJqmlXkFnM7ETGmbW2l74LJlywiFQjO+ruROhWCro3pQPYBw2hSqJWqkDXvuVGlc4hR2AKkDgtG91R9jvqEoCo0tPnouVdjylAd7ws/UE5Q0NnrYtGkTAPJClZcOaBgJCbpAUcDfbLLjW02o0UPYniTDwzZjymSbnz7k54VnB2nsdIjAwYejZFJhGpcINFVFT3nY/yuV6PK5F6xuMptrAO6q5np6ek7KHNB7rU1slaSQcogbV6XhouMCm9R+MelRs9am65LJAs0TgsYeyVifINQmyadAC0qCJYoQIWDla22WXGxj6RCITSYcuVjxWhtpC448reAJBjnzEz7C62Jzem3Shsc+6yHxksAXlRz8tcrIHoV1bzFJ7VPwxyVdF9l4JnhCRVGq8m56uU/hkR97yIadVqzCflh98WhRHaHrOvl8nlwuV2z1c48dCoVoaWkpkjjZbBbTNIuFt+oRnPlukx0/0kgfhMZuyZo3mWXXq3mdzd5fqowdFqgeiZ4RrHxD+dj0NoI+Bqr7UmxHQfWbDH0Mnr1NY3SvAlLSe53FihtmJ1yiyyWv+nOTI884yp2O82xCbdU9p23bpFIpjqZTDBxtxGcahJv8+O0ozWf42LipnGGbbYw9+lONnvWTJNPIPmjSG2lelD2G1CmaJhcsEg83M7YjgrfBpuu6UezxAEfuaUZRFAJR2PhenUinVvRvUj2w6c9Mtn9PI31A0LRMsu5Gszj/n+4R57ViwUj45CKfz9etdti/fz/Lly+vy7EqQdM0/vmf/5lrrrkGy7J417vexbp16+bt+RZQfywQNQuoK+Y7ons2omZqVLYQokjM9PT0nFDzNZdcOh3gqiLGx8d59tlnyWazNDQ0EI1GWbFixazF94mGpmnTGhOCY7i75Z9UzKxTzBVS8MSXFK74goVvnjrRKilm3ESwAwcOHOMVcDqlE5USM2NjYwQCgeJnqtaCvaFDktovCLY6xSk2+KO1zRlSTlFIiYljnWJYdqXNtm9KzLzj8aGoAtuYOH8Bm95rkXhBYc/dKooGwTh0naORGfAQFT10nmuTe0gjP9pMqFWSTYKyzGb1Jh+2YlAoFLAtiWHqpNMFLMsiPyIYsXIUnjhUs6+OaZpFtaGbaBeLxWhvb2f16tWzj8d8HuWxx2BkBLl8OXLjxrpf0+iy6ceK6oH1b7fIJS2QDplTOk6EgA1vN9nxQ5WR3QrBNsna37fwVrit+CPTn4PqhTVvtljz5vq11mSHIPGyINzpkJjesOToMwr5pEZokaP6GdymsPkvzLKWmnS/4OUfOe0+rWdIVryu3DzZzAmCLRIzKxAIQs2ScFOYhgajSMLbtk1LSwuxWIxIxHnhU1UUuVyOVCpVllLkwrvZS/OFzngaGPPiLZSMsbCXV71PcuhRFTMvWLTJOoZQXfU7Fs/9m0YqDdgQW2XTXIMy5XTEjh+pjO4RNC6xsU3Y9TOVyFJZlSInslRW3d5YyQS4dWkzF94UYc9PfZAFb4NkwzuPYyxPOQVFCPx+P5HI9Ousl36gMrRdpbXVppC16b+9FeG1CHYUQNXJDMET/6LT/bZdxxi/ey/x0j4xrpI5L2MDx+ffVM+I89Kfu6hFrVPpfGZDoVBYMBI+icjlcnUjavr6+li6dGldjjUdrrvuOq677rp5fY4FzB8WiJoF1BUn2lDYjcp2d3yni8o+GTiVW59c48/S5B23fWnVqlXHZRZ4KiE/CvmkoLHLWTz5mqBwCLKD1I2oqaaVSdO0irsl05mMuvHU7pezAARrJIQqvUS6wR+qnE5UT1LHbX1wjaH9fn+ZofZcxsaGd1o8/o8aY4cE9oSZa6mx6GwQipNGs+8+lUDMxhgXBGKSplPQZNfMO20JqiawDPA1SfS0Y56q+Zyd6Ov+P4M73uXssDf1OH8nbeexigZnvsfkpe85psThdsm6t9iEY5PMQvAaQXa7hiJB8Ur0oOCst5u0rOua1lfH9Twp9daxLAsxUWiFQiHa2tqKY0vTNEzTdNompnvvDQPtX/4FsXs3+P1w331Yb3wj9lVXzf+FLoEQTOuTAc5ccOa7LeDU8ntSNJzCV1IkHrNDgq6LJluJUvsdY+rYSmes50fh6a86f+gNw4EHFMwcnPH2ydcmgZb1EuHTyWVzZEYLHDiYwn9ofMbY7Grb/KbOZYVCAcMwyuYywzCwO5z5cd+4yqFtU9Kvwl7W/ImfwoAff0ijeY1A9VQYZ6YJw8MQDkMVvlKnMkb3CCSO4bXmd8i58SOiptapSnDJ1llNgFuh/UzDSX2Kclx+Oj1X2rz43ypWwSGjfY2S5tUzM+Z9jzhtbppP4A2pZI8INOkhGndOIBpx2t42rI8VFTNTjd8r+TcZhlEkD90Wr6mktCq9HLq/kdGXfYSaFdb8nk1j58zXe74izktRSuxUE3Gu6/qCouYkIpfL1cVI2G0tXCDdFjATFoiaBdQV80nUDA4OlnlhlCYL1SPyud5QVfWY4v1kwZU8u20MrjdPLBZj7dq1xZvOli1b8Pl8pwVJoygKlmVVfM+9YRCaxMg5/jSWDtIW+BqP//nq6TFTrcmobcGDH9fYe68KwibUYXLe5waw1Hxxd9stjGaKnJ7Oi8JFoVA4JoI+Go3S2dlZd2Po8GLJpZ81GDvkGOw2dE6av1aLlW+w8EUkiZcUgnGb3msrqyLmivyeYUY++zPoP4w4YzXNH78OLVL9Tlp4sdOe5W2UeEKQOeqYjJYqHhQNLvqEyaOf9pA54rznPZdbtE6QV8FmxyR1OjR0SDbfbHLgAQXbgI4LrGL88VRfHbfdxVVSWJZFPB4nFovR1NRULLpdAqdQKByTguWiNHba5/MR6usjtn079PSgqiqqbaPecQf2FVecvpnjqRTKM8+AYSDXr0fOY4yqPwZLr7TY8wsN1S+x8oJgmyya8gKglCvH0gcFRhaaJpyBm7odj571f2hhmE7bWr41w5G+GN7wBAnnjXL+2yI0r67Pec8laa2sPcYYRg/rJHSd/c8ea5gcGh6m46tfxTMygqKq5P7szxDXXjszeXgKQ886KWW+JrAMgZCw8d21tyu6bcqJRKKYthaNRmltbXXM22f47HnD1XvjVELHuTaaXzLwnIInJOm+1MIfnflvNP8kUQ2OP4/E8Tty/YmCLZNtrVC78ft05OGOH/oYfNpAi6Y50i/Y/Swsecc+/BFZt7S1uZgmz6bWcVv5jxw5QkdHR5mqrZqI8wXUB/l8nlhsbq2uAIlEgng8flrOXws4cVggahZQV9RzwimN9R0aGmJkZIRcLndcUdknC0KIkxKjaFkWo6OjZVG5LjFzxhlnTCvbdCO6w+E5rN5OEFyfmkoLN80PZ73H5tl/U8lNxPCue4tFsKX6458K5r+771TZ+wuNQLPT65Pt97HnPzq44gtGxce7qR5TC6HSloVCQccyLCxpYtt2sUUrGAzS2NjI0qVLi8SOz+ebl7HrCTInvyBFhaVX2Cy9Yv6IUHM0z8h7voaSGsEONyF++SuGjiZY/O33Vn2MYDO86n0mW7+UIf9ilsgaL2e991i2MLZCctVXdFL7BZ6w40NRy9BqWiLZ8I7KPgqlJuC5XG7GZCZwWjZnS6qrpAizdJ2CYZBPpbAsC8sw8A0O8srjj6NWaLmaSiDWm2Qf3S8YfkWgBRxVU81E3ugons99DhIJhKIgf/ITzA9+EDlPCR1CwKabLJrXSkb2CpqWSLJJwcGHFAJRiTHutC01dk9+blSv00YHIG3J2GiesZzOU09vRwhBLBZjxblxlnY3cfBBD9KG7kutupE0tb/G2gpu27aL4yv8+c8j0mn05mZkPo9y6628oqqMt7RM205a6etU2MyR0mlJCzQ7hJyiOHOip8pNel3Xi+1MY2NjhMNh4vH4tJ9pS3dIPXB8hNQ6+tC2bZS0baxenbbuLSZPfcVDfgRsS9K8VtJ5ocWeO1WEAE9IsuGP5qZ2q0QeSgk79nvo3igRisN+pg8KVrY003zGsfdMN9GvYqtfSaraVLPkWsfZTPdXd/5OJBIkk0lM0ywmkrrEuvs499+Z1DruY06Wt85vCurV+rRv3755jeZewG8GFoiaBdQVcylcZ4rKXrlyJc8//3zRhPN0wfGaINcKd6fFJWZc0+RYLEZXV1fVMlm/30+hUDgtiBo3UWm6BX/HuZJIj0lm0GmNaZhlM/xUIGamYmSXAEUWfTY8YUny5ekXU67k2+PxlI0517tp70MFdv84DKZK21k2G95hE474iuSOmxrjqq4KhULxOrjGkrMV278pu0PZ5w6jjCSx27sAsEMhlBdfQB/M4G2t/vPctu27XP/UP2DjQe0zMFe9H+vd7z7mcf5o7V49leD6CbnpbG4y08qVK+uWaldRRdHYiPbggzSlUsjGRkQyif3GNxK54IKKsdNjY2Mkk8mK46w4tlSV+H33EX7mGUQ0ivGOd6CuWTPr7vbgC4Jnvu5BKE6y2IFfKZz3QbMswl0fg1d+pjLWL4j2SpbfYKGVrL2VLVsgmYSeHseKI5FA/elPMf/yL+d8/aaDUKD7Mpvuy5zvbdNJVUrsUAi22PS+xioW81JKtLYx1Dab3U8KbCy8Xh/r326wetOm8rbfCDSvPnlpSMcLRVHw+/34FQXf0aPIjg58QkAohNB1zohEsM89FygnqV0FxVSSWtf1iuOsGv+mekP1OC2cZm4iBj4pjvF8ceEqYpPJJMPDwyiKUry3NzY2zniO+jg89VXNiamXjr/N2e8v/yycSCw6S3LRJw2SLws8QWg/x8Y1lPAsAAAgAElEQVQThI5zbIyMkx6mzUPGgxDOBo5ZmCTEpO2QnbUk+k3XtpzNZqsaZ5W+SlVhpmkyPDxMIpEglUoRDAZpbm6eloSbCbWodeC3K+J8LqiXmfDevXvn1Uh4Ab8ZWCBqFlBX1LKoqTUq2zUqPp0KQdenpt5ETanp58jICFLKIjHT3d193D2vrqLmdEA1yU+hNgi1VV79norEzFREl0uwBdJ2yBpjXNC+efbdRsMwiobao6OjKIqCZ7yVvd/swUo7aS2pLZLBTotFFZQYleC2LGRGCrzyfx5yKUnjmjEaVh8tFuHuQu9kF0HVYvwobPuWRvqgQrTXZuO7zKIfiOLTnD6kCedf6b42fw23zUQCz+c/j4xGUAIBZKGA9rWvYV1zDXR1VX0Y24IDv1YYel7BH5Msv95yfFikRB8eZrhQYHh0tNgOelKSmYJBzJtvRr3zTkQigXXhhdhXXlmmoqhmHixtjfHcfjuB//s/jEgEjhyBD36QHR/4ANkJw9tSwqj064XvtKCEbIJRBUVRi0lQHedOfNbNieK130mEG7lXYfwIvOp91qSSKZdDqOpk7ez1wgkwh5e2E1PsCTltcUuvtFl6pXPe+Xyew4fLY7NXvz3OysOtYPhoWiKJLD29vVsqwuNBtrRAOg1NTRSyCocPrWXgrmUs8im0b7anJamnw3T+TZVUFNN5nrhzm/u7agtXIZyY7X2/VAm02OhjAn+k3CC4kglwc3Mz3d3dNUUz771XJX1Q0DShxBrdK9h3v8LK19amRjTzsPsuhZFdCg0djmn18bYSR5fJY0zB/RHwR+bXZ2zt71ts+5bqeEBZ0LLOLvo9VYtaWv2g8jibasxdKBQwTRPTdMhUv99POBwu8wnL5/PYtl03tc5U/LZFnM8FpeTVXLB//37OOuusOpzRAn6TsUDULKDumC75ySUX3K9ao7JdBcXpZKIWCATqkvzkFt4uMeOmWcViMZYtW1bTwm0mnE5JVV6vd1aiphSnAzEzFctvsDj0uMK++1SECk09Nud/5Ni2p9LP1ujoaHF8uKbaqqryzL+ojO33EGiW2JbTGrL/frViy0wlqKqKKgM88GdNDL+iIIREKM1c/Lc6G9947AKudGFaKBTKjB9dA1soX/hOp9g5XlJHSki+LEjtE4TaJW0bJ1uKzDw88XkP+r5hgomdDD8d5omX23j1N6IoGoTO6SS9fgPa81uxPT4Uo4B802vRGmuYf44eBdsGd6d2Yu5SDh/GroGoeeWnKrvvUPFHJYmdkr5nDFZd8SA9f/dhAokEHcEgjV/8Iv5rrz1hC2IpHcJD0ZgkN+JxrLe/fU7HLd3d9j7+OPT0TM75fX2cqSjY550HlLfGlI618dE8tjAY0x2T5HzSzwtbj3JUy+Dz+TCTIQ7vaKehy8ZSVXyLVI5s85AbtgnGnesnN26EO++E0VHQNEQyiTXPyRmJlwRPfMGDPg6BuOScv85jNw0XjWG9Xm9lEq4H4NTwQ5sXCIHx0Y/i+cQn0PtHePD5P6DfcyHZny1F3AGv/oxxDPEw+KLg4K9VFFWy9GqbaG/5mqRWFcXUcTad+Ts4qYSzqShWvEHibZAMbVeILrdZ+hqdVH6Y5KFZTIBrRGZA4G2YfO2esCQ7UNuxpIRt31I5+qyCPwYj+wQjewUXfMQ8LhPik4XFZ9sE4pLUAYE3DK0b7bIo+flApXFmWVZRNeMSrs3NzcRiMVRVnbF1eS5qnZnw2xZxfrwwDKNuISV79+7lTW96U12OtYDfXCwQNQuoO1yixm23cKNeAaLRaHGhWavqw43oPt2ImlQqVfPf6bpeJGVcRUQkEiEej89rmpXf72dkZGRejl1v+Hw+xsbGpv396UjMTIWiwqWfM3jVn5tYhUl/gdJWN/f9KiXuKo2P4V0KQnMk9wjnS5/+8lXE7p8pDL+iEO6QKAIK45Inv+Rh9RvLCbPZiqDR/YIX/kslOySIr7Xp/b0MeCdTiNwdx9JUIpheQVFK8LgLU7MAD37cw47/cXYfvWHHH+GCj5oI4RQwud0jRHf/Gunx0iATpB8YJf9IE8FL1yA0hUX//seMfOdZ7L4hvOu6iL55Q20XrKfHIWlSKWhqgrEx8Hqxa/A5sSybnXfYEB5lOJdzdoMHgiz/5CfwZdOIeBzyeWIf+hAjSzbx/C+7GD8iaN1gs+bNVs1tBKP7BJkBgT8qia2s7JUzul/wxBc0xo8ohBfbnPdBk8h8pG75/WAYRYILKaGElC62xkwh+Y0bFHb9VCMYt7HyYC4WXPj6CN6YU+iMCJM9ioplmhi6gWlYZFMaz23biRp0xpqmaTRdey0tDz+MlstRuPpq7HXr8KZStfudGAaMjztjYJoCpJCGRz+rYQsd2ZBjsN/izg9ZnPv3o7S0tbBixYpTwl/lZEGuXYv+rW+x/Wspdu/rINQTpAHIp+CpL2usfO2k0fXgC4KnvuzBE5ZIWzCwTeH8j5SPUT0DL/63ysBWBX8ENrzTJL668hgWQuDz+apae1QyTK5kym1ZFlbYwjrbImfbjLzsrBcaGxtZsmQJfr+/OJ/NBbGVNgPPavgjzv1PTyvEVtbWBqePwcBWlcZuZz7wNTr+LmOHRNUx4acKaok2rxeklGSzWRKJBIlEoug109bWxqpVq44hJY5XrWMYBvm8EzRQ2p7lop4eTqd7xPnxol6JT+AoahZanxYwGxaImgXUHQMDA+zatQtVVYnFYrS0OIvMuZILgUCAbDZLNDpLrMApBL/fz9GjR2d9XGnqzujoaN2vXbU43VqfEolE8fupN/zTkZipBCEg1O4QM/sOOMSMbdtFYqanp6eqxXx0pY3/CUFhTCAAaULXRbXtwusZgVAckgac5I5CjTxkfhS2fElDURxfloFnFexCmHM+MHvxMJ2CIp1OH9OuMPRgC3t+sBLVa6F6oZBVeOEHkuYL0rSfLbBVPxw+iqV6Ufx+bFuBrIr38V/BpWsAp80p/KZzOPiQQjIjsHbYNK+pYZEfDmPceiuev/orxOHDyGAQ4x/+AZqnz48uTWZyWkINcoUzaIx4icabUFSVfHoQb3oYEZ0w/fX7kbkCL31yD0cD3XgbJbt+qpJNCM6t4rq62P8rhRe/rSEUiTSh9wab1b9rlZE1Zh4e/XsPVkHS2GWTH4ZHP+3hmq/rdfeWMN/5Tjxf+AKkUkjTRHZ3Y59zzqx/13utjaKaHH5SIRCDlW8wCS8CmEgQWgtD56sceSaINyhRsoKVb7RYd/nZQInfyZo16JddRsYdb2Nj6NP46lRSg3m9XkIPP0zD3/89QteRnZ3oX/86sru7+Dy5XI5kMknfc1kSAx2E2yV+j59Fy8Jkj6p0xpsIxet7XU9bNDWRaYxjeyeLQs0HRqZ8Xj/waxVvw2Ss+dhhQf9jCpGeyeLvhf9yFCINHU6r2ZNf1rjkbw1CbXM7xZkMk6eaALut3o2NjcXflyVhTZO2Vkux3X2pTWbAou8hp5DtudKqed53PNIk0gahThhYS+f/C6gMVzWTTCYZGRkhEAjQ3NzMunXr6uJvArWrwioFDZTeO2dqX55qnnyy1Dr1ijg/XuTz+boQNS55N5tx/wIWsEDULKDuKJVw1hPBYJB0Ol3XY843XI+aqcjn88VCLJ1O4/F4iEajLFq0iJUrV9H/sMbRRwT5Nmj8HfuEfVJdM+HTAW7rk23bv1HEDBzr32TbNk1NTUUPouPZZV31epujT6lkBpzWp/AiWPfW2nZWO861UFSNfAq0AGQHHUPMWpDuE1g5WJb5Ic2P340RiPHS+J9hFrrKYqsrYToFRSU89qDKAUXDG5RIJHgkdkEy1DeO0TJMoaATbdnBwIu9yKwHhGBN412k8wbp/fvxer0I3cfWW+PkEwLNq7D7DpXNf2HSfk71r9m+4AIKDz4IAwPQ0uKoREpQmszkmqg3NDQQi8WKi/rWtMKOH6jkDLDy0LS0AfGMArrueKfYNjJvktLbCE+0eHhCkkOPKxh/Wl2ajJGFl76nOpHiXscXZ+/dKl0XWRMkh4PMoKCQhoZ25/tAHMYOOz9vWiKxdYt9n9lG3706qk+y6i9aaH3j8e0a2pdcgh6NomzbBg0NWJdfDlX4jyiqQ9b0Xlv5fRICznyPRfM6yfhhQVOPLHtP5+J34qrAMpkMme3biX70o2Q8HmyvF23PHgpvexvb/vEfsWwbwzDwer00NjayaGkL/Q2NhAMCj1/BzDuFsPc4fUB+U9F1kcW2b6rOHOSDbEKw/LXlu+9iSow5slzIJOWEQqTT8f7yNToEcrpPIdRWvxYy1wR498MZdv4giDQUlr9BYe31s5sAV8J0RrbTtcaoquoU1Wd56T3Th9fnJRD2MJqqzSvMG4aey2323qviCUrMnNM21NBxeqlpKsG2oDAKnjCz3n9mQyaTIZlMkkgk0HWdWCxWVUz6iUCtc9p0myJTlWEu3GPPRCBWu+E4nxHnUFmtA9VFnNcr8clteTtd16gLOHFYIGoWUHd4vd6yKMN6IRgMVqVOOZXg8XgwTZNsNlssul3DT9ebZ+3atWU3gm3/qfD019XiYnPvPQrXf9Oc8yKiGiiKUtFf6FTA1JuuqqoYhsHjjz8OTPoCTN3ZLv3+ZC+WpoO7oHdbmQzDKBIzXV1dx20OXYqGdsll/6AzsFUBAYs32cUd52rRsh6u+JLBY5/T0McE3ZfZXPq52j7rmh96dn2T5XtuxVY8CMvk/L0PoyV+CB2LazuhGRDpAW8DmFkFTwgs00lVOuPSDpqWTLAM/xRi5C++SbbQQNCTJNbQx8jrP47P50PXdQ4/DkN7c/gW5cjbNqah8MDXJKtv2X/sGPN4aHjwQYJ33YUIhbDe/W7H5wQcMqXEk6aUqB0bGyMYDBKLxVi+fHlFP4plV9sE45DYLvDHJd2v1jDP/hyej3zE8cCxLMZf/3ZGD6+jUTrtCdJ0itNqPRjMHEgEqndiN1IFoUqMrKA0jsbXIEE6kb+q1/kXOfFzYP8/bGPH9wThOOhjCk9/LMWFzf00XdJZ0/snbacNy1Q20PT6M/DWeeNR0RxD13pgup1tZc8ePH4/aiiEaRiY4TCBgQHifj/B1tbivdIpelLEr9I58L/NSGxA0vnmg7ywIz+rgqKu89rgIMoTTyAMA3vzZuSSJfU7dh2weJPk8s8bbLlVwxgXrHidySWfKiecl11lMbjVw/hRibQcFWDXxaVEHHgbJEbWISGkBGkLtEB9UtfcOOVcLgcDi3j+4yvAVhCKwvMvQmtMp+k1xzP2BOhegn4v1QQzTkcgTucV5hbarkFy6b1z2eu9hLt8pA+ohBdJui6yUU5zRc34EcGWf9LIJQSKChv/2KTjvOrfF8uyGBkZIZFIFFUz8XicNWvW1K095mShlk2R6dQ6ldr9YPoW5qnqnWrnteMxTa7WWwcmiR1X/bhkyZKyz03pv9Wey759+1i6dGnV572A314sEDULqDvmiyEOBoOnhdGtK2l0iZnx8XF27NhRFqc53WQubXj2GyqBuOMlIiUM7xIceUrQddGJI1Bs2z7ppMZsrUyqqnL22VNaFabs/rg7je4idarZo7sQrdS2MJ+v37Zt0ul0cYwYhkFjYyOxWIyOjo5582EKtTpF/1zgpNDosz9wGkR7JU2D/0FBhpH4QIUG3xDywQew3vKWOZ1bKZbfYDGwTbDrZyr5YYEvApd/waBpScnnaPUqYv/yJzT/6legtGNf+QEiPT1EJn4t9ygMRjSa2hxZg5lzdmDPOKPhmEWp+rOf4fv619E9HjBNeOghtn/0o+i9vWiaVmZI6vF4iEQitLW1sWbNmll3DIVwjDAXnz35M+sNb8A+4wzEK68gFy1CO+MsWj4rGXxeoHmdGNq1N1qOJ1EV8EUgvFgyflQQbJHkR5wiNrxoSjpL1PHz2PYtrUgmb/gjE/9ER+qh+wuEogqegMQTkBSyMHTfQE1EjW3Bc99QObzFIaw9Icn5HzFp7Dw1SeRSSCkZHx8nmUxSGB5m5fg4UtPQvF58UiLicVZs3FjRq2blSki/VpBLQGiRJNS2pkxBUVpsV2tiO3Vum3GsDQzg+bu/Q4yPg6Kg3HUX5v/7f8hSHwXbRrnvPpRHHoFQCOt3f7f89ycAva+x6X3N9HNQbKXk/I8Y9D+moKjQdcmx6o8N7zR5+msecsMOmbP4bGtaj5qZ4Bq5u4bPU02A7/+gF2GrhBY5/UK5YXjuNm3G86+EXBKe+pqH1H6B6oEN7zLpPH/mubyW1hh7QuE1dV4ra8HSdOQyyTiQeH56w2R3zJ3KnkpSOslvehoaOx2V0HO3aTT16GUKwqko9ZrRdZ1oNEpLS8spoZo5WZgPtY5hGDWZc6uqelxtWLN567jta8PDw/j9ftra2srsF4434nzPnj301uBVt4DfXiwQNQuoO+aLqFFVdVrJ4slEaeuCS8y4O+Td3d3oul51X7K0ndhId6fKvZTW8dfFNcNVE9Srj7pazMVjppaFQimp4xY+uu5Es5Z+757PVDlvaeHj7jzOtkCzbZuxsbEiMVMoFIrETD171ucKacPuOxX6HlHxRyTr3mqVExt1gFAg2AqmT2JrTpuNNgZGnecNbwhe/Xcmm/7UQprQsESiVrjjyeXLsaYpNJvX2mgBSXYQVD/kkoJ1N5rF97/s+R58EBGJQDjsjN+jR+l6/nl2dndjmhZyoBk7FSYch/CKMQxTp7+/n3379pW1KkyXfFWp0Ja9vciJxZ4CnP9hg4O/VsgOCqIrZU0tWooKm//CYNu3NEZ2KzR02Jz5bgtPhbTn5dfbNK8zyAwIQq3l5pxaEPJp5/qDo1TwNNZWsA1uUzj0+KR5aXYInv9PlYs+Xlur3olCPpXCvO021EceoaCqDL/xjfguu4xFr3sdnn370P7nf8CykIBx663TGgqDUzQ2Fjmt6qOAZ/KgKJ3XjmmLKfmK3nMP4ZERWLIEVVVRkknUO+7AvOWW4vMov/gF2ne+g2xuhsFBtM99DvPTn0a2t8/hCtYf0V5JtHf69ULrGZJL/tYgdUDgCUma18qqFCKlRFwymcQ0zRmLdasAsnRqUxy1W6147jaNdJ+gsWuCVPiGRmOXUTfy0vVZqtYwuRYFRT3TieoFq+Aoatz7mzbBZWWOijJy2lXNuF4zPp+P5ubm3wjVzMnC8ap1DMMozmVjY2NFYrFQKNRNraPrepGIy2QyRKPRsvTMmTBbxLllWTzzzDPcc889/OhHP+LGG2+s9pIt4LcYC0TNAuYF00V0zxWapmGa5gkz160Ed6HmEjOZTIZQKEQsFqO3t7c8NpVJJVA1NyVFg2VX2ey5R8HXBGYWvI2StjNP3E6y3+8nn8/PO3lwssx/j4fUKS10ZtrRLiV1XD+BbDaLYRg0NDSc8gu8l/5H5cXbNXxNkuFXBANbFa7+mk6otb7PY/7xu/B88YtIWUCMG8imJqzLLqvvk+B8nuZCNIUXwYUfM3n5RyqDLygEW2yEOhlL7cK2bXQpIZejMDEW/KZJsKGBzZs3s/cuDy/9j/MHUkLP5RYb/7jcpNdNi5k61qaaPU5XaLtkTuxcL4smvhcV3D4Hnhe88J8a+rig6yKLtX9gFSN2g81w/oeqqyIjPbJi0tPqv2rniZuHSB32YNvQ0KKz+K3rqzqmi/wooEwS1b4mJ6XrVMFUFUXnvfey6MknUZcupdG2ab3jDoxzz0V2dGB++MNYr3sdIpFArliBXDx9e5+UkNwhyKecArIWD5B6+OoUxsZQDYP86CiWZaGmUuR37+bgli3Fcdbzk5+gBoMoioIaDuM5dAjruecQixefdn4L4cWS8OLZr/FUE+BwOEw8Hmf9+vWzEhtr3mxx4H6V3DCggJkRrP692tpFpYTkywoNXaWkgmTskKgLUSMOHYLRUWRHB0Qisz/+OMZaaVFtGEYx2W+qCTxQbLua2n5VT8Wr6gN/RFJIOfOLbTgbFYH4ZPtaIpGgUCjUVKwvoL4oHWvVoCplWMmaTVVVFEUp3nuFEDQ1NdHc3Exvby8+n++41ToA6XSa+++/n7vvvputW7eyadMmbrjhBj75yU/S1NRU28VYwG8lFoiaBcwL5ouocZOf3JSEEwE3hcVVQ2SzWcLhMLFYjBUrVsxqCBYIBMjlclWnVV30CQt/XHL4CYXQesm5H7AIxOr1amaHS9TUG6dbKtPIXsGun2rYlofea720rJt+PEspGRsbKy7mR0dH8fv9+Hw+GhoailLf/v5++vr6AMr8AKZrUzjR12P3z1WCrRLN7yxe030wuFVh6RzbpabCetvbIBJBufdeZDSK9d73wqIZ9OYnEU3djuHo2EHI7M4z9LjkyCMKGz6cYWTETWbS6bz2Wnq+/GW8uo5i28hYDG68Eb2gsuOHGuF2J1pd2k4qzbLX2GVFVmlaTDXFT6VWv7GxMYxMBiuZJOfxYE4Q2u5uuZkI8/JXu/A2FPD6BS/9rxddt9j4Tln1YnQ2RK/s5uL/9pP81VEUv0Lbm1fhbZv99ZSisUuC7ex6K15nl7v93JOnpnRbFV1y3rbtoopixYoV+L/9bfLRZaT2BFE8kpgv6bSkrVgBQiDXrmW2u6GUsPWbKvt/6bR7IeCcW0zaz63vZ89FpbYYccMNeLZto1FVwetF5HKYb30rbZs3F8eZt6EBRkcxJghsbXycw/39DG3ZUjzObC0xtfhPnAy4nmFuy4MQgng8XmxdruVzsuQSm6u+qvPsNzRsHVa/2eCMP6wxdUlAsMUhFfyRCeWtLfA3zX2NpX7/+6jf+x6oKng8GJ/4BHJ9bcTqrM+hqqiqWrWColKhnc1my4iemZRhlUxsp75nQsCr/tzkyX/SSPdDIa/TfOlRXjp0AF/CaV9btWrVMcldCzi1UY0yzE3kGhoaKq7V4vE4gUCguFZLp9PF9raZfJy2bduGaZosWrSI9vZ2Fi9ezOHDh7n77ru55557SKVSXHHFFdx0002cd955C0TfAmqGmKWYPvUbwhdwSsI0zXlpU9q9ezfhcJhF81jUTfUPyefzxRSWaDRa0exzJhw5coRsNnva9KP29/djmiY9PT1zOs7pRsyUYmSv4K73eJ3kFeG061z9FZ22syZfk2vK6JJ3rqqqmjEydTE6VUXhLkZLlTrTETrugqEe1/Jn7/CCpNjuku6Dcz5gsvTK+SkWTwdkh+D/bvQSOvIcSjKBJSXjchHrb03QevkyYrEYfr+f0X2C3M+3ENl6B6FlfuRbb0QuXUpuGH55i5eGDllUiIwdElz4cYPYijq3le3Zg+eLX4R0GrxejPe/H7lpU1E9setueOl2P4HFOrZtoeckZt5m5QdfnrFNYSqBWE1SzFyx/1cK27+jYZvQvN7mVX9q1t1QeDqUxma7n+/Gxkbi8TixWOyYVqTs2z7B4C8GyYo42JLmwD7i//7nqFdfXPVzjuwW/PpjHmecKE4KlzEuuOE/9Yl45BMD8eKLqD//OZgm9hVXYJ9/PqXSL7FtG54vfckp7E0T2dqK8Td/AxObJ6Vz29R5bTZfnenUEyeiuMmM5zi6f5hUNkHByhZ31aPR6HGl7NUbI3sET3xBw9IFtgVLr7JY/9ZyVV6tEHv34v3AB5CLFoGmOfOGEOj/9V/M6cAnEJVasKZ+lRbapYocXdcZS+rkhlQibQE6V0Vobm4+Jd7vBdQX+XyeRCLB0NAQhUKBWCxGc3MzkUikatK4klrnjjvuYNu2bfT39zM4OEgqlWJ4eJiGhgba29vp7u6mtbW17KutrY1zzjmnqpbWBfzWYNoJd0FRs4B5welkKOzunrnxuKX+IWvWrJnzjkogECCZTNbpbOcffr//uM63HsSMbcKuO1SGdwoivZKVr5tsyziR2PljFasA4Tbn++yw5Ln/kKxv6S+2u7k+RL29vTXHLJYuGGfDdIXP+Ph42fcuZiqyZyN11t9o8uRXPWh+ia0Lgq2S9s2/nSSNm8x0+OUx8odjhIYGkQEfmqLgydosu/s+Gv/wUwAcflLhsc9pIC9Cyotp67S5sNNAxdkBjyyTpPY6Jr25UYE/ImmotzGuYTjtZLqOMjSEOHwY77vehX777agbNhAIBIi2KPi8Gg1hZ9zlbfC1webNm4uHKW2JccfcTEkxMxXZPp/vuEmdnsttllyiY+lOq0c9byl771HY8kUPegZ6rrS44P+ZSFUvKmZSqRSBQGDaJK50n2Dn/6roWadV9cmd7+Es8Smi6gGEKjmaX8vh3edz5tXVn5M+5niRHX1WwchCoFniDTmm0FPj1W3TMVyejyRAuX495gyKCrlxI8YnPoGybRsyGMS+4IIiSQPlYyI8SzTRdF4ns8ZNVxhnLpldrTKstH1tYHeWw9/vhfE2/KEuzn6fpGvtqbVPGe2VXP6PBul+gTcMjUvknD8TIplEKopD0gA0NiL6+yGXg3lQkiR2CJ75ukZ+RNB+js2Z7zWPGdu1wlUhzrZOs22bkZERBgYGGBkZQVVVQqEQrZ1N0Om0tx05coSDBw+WbZDMlIR1qhsm/zbDVcIPDQ0xPDyMqqq0tLTMSSVVqtYZHR3l0Ucf5YknnuCFF15g8+bN3HTTTVx55ZU0NDQUN/MGBwcZHBxkYGCAwcFBXn75ZR566CE2bNiwQNQsoCosEDULmBfMJ1EzMjIyp2NYllVGzExN3Km3N0sgEJiXVqL5gs/nq+p8662YkRIe+weNffeqqD6w7oKjTytc+lnjhO4oA5gFiZQ2+byjbMlnBGoij23bLF269BgfovlErYVPqeFepTSFSqSOu/gMbPSy4ZYwI88HCUYVVr0efE2nx87qXGEYRlmh7vV6nUL9rMUMLx4iObgIPwWyepimwBFiw8/hurk8+68avoiciPqVDDwvGHhOof0cG6HAObcYPP+fKsmdKtFlNhvfNfcC5RikUjA2htLXhzh6FAIBRDqN52MfQ//v/4ZIhMWbbaLLJcO7BUI4Pvjt9ncAACAASURBVDubby73y6g1KWaqKmyq94RecD6/05k8lhY+U0lERas+XrxaDGwTPPRJD1pIogRNdvyfZCA5wNJ3HiQWi9He3s7q1aun3WUdOyS4+yYPZkYgNNh3j8rY6Eoy7bfSbL+Cpfg4MHYWZ6QUoHrXWF9EknxZAQFaQDK8UyG20kYruR1JCTt/ovLyD1WkDZ0XWJz1p9YxhI1ZgPRB4Xg0TbTu1RNyxQqsFSvmfJzj9dUpnd+qJRE9Hg+2bZPL5RgfH8eyrIld9Rb6v9lGWFMIrXSMep/9Z0G0Ryc8vZ1Q5fMz4NBjCtmkINpr07ph7mRKKXxN0FKHdicXsqPD+U8uB4EADA1ht7c7/68zxo/Agx/3oGiOYnPvPQqWoXHeX8+fQbirokgkEsX2c7dYn41gmcmc+3gMk+dCWi+gOpimSTKZJJFIkE6naWxspLm5mZ6enjn7Wkop2b17d7GlKZvNctVVV3HLLbdw9tlnHzOehBCEw2HC4TDLli2b03Mv4LcbC0TNAuYF80nUZLPZmv7GNE1GR0eLbSqWZRGJRIhGo3R1dc1bFLILr9dbVhyf6vD7/RQKhWN+Pt+tTNlB2H+/SrjdKSykdJQKqQOiLFVmvpDL5YpjJLcEcrk1eFHxeEIEPCoXvNvPkiUnzhvpGCQSzi7nDLtBx6PUmUrqaD1jNLU7/39+twG7ncdXUk3MVGSf6nDTPIaHhxkdHUUIQSwWY9GiRaxataqsUL/sg9t57qbtJOQaFkd2sTnwTcQmNxreUUMEJgyXhXC+zBLhnz8C59xiYZsWhRR452MYNTSApjnGoE1NYNvg8yFME2XXLuzNm9H8cNEnDY48rWDmIb5K0tglUZ5+Gu0b3wBdx3zrW7Gvrk4KMlN6x8huwZO3aWQGBPFVkle9T0drOrbFr7TwKTUUnan16nja/VwT+JfuM8mOR/B4C2iaRiDmwdrVxebNjnxObN2K9q//ihgbw7r8cqx3vnNScQDsu09BHxNFo99CGhQPjI4totDchm2ALQQd59UYvzysEOm1yRwRmAVBeLHEE3DUM27E+pGnFV76rkq4w0ko6ntEJRCD9W+bbDPOj8Ajn/YwfkQgbWg7y+bcvzKrjmk/lVEriZjJZIo76tlstqiI8Pl8k4qagRQHX/ARXGyQT6ooqkIh62ff8ykWe2TVvjq2BVu+qHHkGQVFA2mqbPgjk+XXn7qKRNnejvmXf4n2la/A8DCytRXzYx+bl7an5E4FW4dgi/N9uAP6HlY496/q93S2bTM6OlpsWfR4PGVR6bWqXo/XnNv9mskweTZfnXoYJv82wI1LHxoawjRN4vE4nZ2dNXtJVYJhGDz++OPcfffdPPjgg3R0dHD99ddz++2309nZeVqtdxZw+mKBqFnAvMAt2uttKOzxeGYlPdwFmKuYkVIWiZnu7u4TLjd0r4OU8rSY2N1krRPtMSNtZ5e/rFNTOIXKfCCfzxfHSTqdxufzEYvF6OrqYt26RtatVnnhdhXbhDVvNui5/CQtuA8dwn/VVU4BDpivfz3G7bfP+bC1kjpTC2xXqeMSPe4i1F3gzuSpczJ2Fqe2OFqWRTQaJWDHOXLnalJ7NTLdktY/M1Gi5fOW55rzOP8vn0b7r5sRqoq9YQP6hz408Xqh4wKbg79WCLVLjIxTuMdWlh9jeJfgsc96KKSdVp7zPmTQtqGO86PPh3HzzfgefhgyGVAU7JUrnVjoEjJa80PXRZNjWWzdivftbwfLAiHwbtmCfuut2Nddd9ynUkjBI3/vQVEdImh0j2DLF7xc/nlRtaHodOOtkjJsunQYgEwmQyqVKqbz+aPd+Pw+Qg1+hHCIlkDceR/Evn14P/QhpNcLPh/at78NloX1J38yeW4WZXOUELBok0TaNkeectSAF3zEoOey2uYL1eu0OjVP/J2tQ25ElEVGD+8UqN5J4iYQlwy+oACTRM2L31UZO+ykAUnpqBIPPKCwrM6G4KcipjMBXrFixbSFm5QwutRR22ghE7NgYyBQwgVGRiqn+7m+OqVjLnsgRP+TURqXWKiqijQFL35HY9k1et1VYfWEffHF6OecA+PjTuLTPLXyaAHnHu+sgxyjcG9o7iRNPp8vqiiy2SyRiOMzs3Tp0hOaDloLiVipndkwjLI0yUqGyTMlYdXLDP5Uh0vGJRIJhoeH8fl8tLS0sG7dujmr4aWUjIyMcO+993L33XezY8cOLrjgAm644QY++9nPVkXYLWAB9cYpfPtYwAKOhUsO2LZd3G0wDKNsZ1xKSTQaJRaLsWzZslPCGM7r9WIYxindkzqVmHnllVeOKbBdD4D5QKhN0rLeZnCbgvA40n1vWDK0XRDtnbt8v1AoFIv0dDqN1+slGo3S2dlJQ0PDMbtX7Zst2teNOTLwk7iz5XvTmxySxuMBKdF++lPkV76CefPNJ+wchBCzJim4KDXccxeh+Xy+4s7i1HaYSsqJ4yV13CQut51J1/WiIWxXVxderxfbhPv/2kNmQBBslqT2Cx75tIer/kmfbDmREvUnP0F9+GFkdzf24sUYn/qUo1qZwKY/NVE0lcNPqvgjkk03GWWxv2YBHv2MB2lLGjocBc7jn/Vw7Td0fHVM6JRnnYX+mc/gue028HgQuo69eTNy3bpp/0b7wQ/AMCZfTzaL9h//gT4HoibdL7AKEJzorAi3S9J9gkLaURfNhlrGW2nRk81mGR0dZWhoiGw2ixCiWMAIIchms6ir9uLt8DJ6IIAQCpoPVr93hHRaENqyBY+uQ6sjj5ItLaj33ltG1Cy51OalH0A2IVA0iZERbLrJYPl1NrZtHPdUEV8taVkvGXzeaVmyLTjz3WbZvBdskVi6Qy4IAfq4ILaynIAZ61fwTbTHCAGq32nXOpnIjzrkXUNX/adSN0o5mUySy+WKJsDd3d1V3fuFgHNvMXn8Hz0UhlSkBWe+zWL1he0VHz+tr05ynLwewB7NY1sWtpQUhvw8+cQOAg2eGVv+TnqR7fM5X/OIRWfZtJxhM/i8094nhOT8D9e+C+OScW6hrmka8Xj8uLziThZqbWeupNYpjZsuFArFFqzpWkznokY82dB1nWQyydDQEJlMpkjG9fb2znk9ats2O3fu5Be/+AX33HMPhmFw9dVX85GPfISzzjprQdW0gJOOBaJmAfOG+Yro9vl89Pf3k8lkii0L0WiUeDzO8uXLT+guSrVwI7rni6iR0tkZ9oaq93SYSsy4XwDr168v7u64CwK36HZ3eaZL6yj9/0w3OWkzsWBzvhcKXPpZgye/rLH92xrekCS2QrLt3zVsw2LNm2tLEdN1ncG+UQYPpsmJYfwNKtFodFYPCgBx6BCem29G2bMHAgH0T38a+4oranr+ekHZs8fZ5XR7aqREeeQROIFETS0oNdxraJg5pscldUrbr6aTi89kXOsuPnVdL0viamhoIBqNsmbNmoo7ndkhGD8y2cYSapWMHRKMHRZEl00Uuy++iPqd7yAXL3bIj8OH0W67DfOjHy0exxOEzX9hUapsKEV+2CFnVK9geDdFEigzIIpFdb1g/f4f0D+6lrEH9iLiURa/60IaZlrMKhN9hi5cFmAC4sABxL59yLY25Jo1VZ2Dt8FRntgWKCpOepo2mSZWL0wXm71s2TIikUhxEZ9NwPP/qTltlL0G13w1w9FnMuTHLRpWjqM2Z+jr0wkPDdE+Pk5hwkxdy+WwGxvp27lzcrw1eDn/M0H2/CiMXVDpvc4upqLNZU2veuD8Dxv0PaKQHxHEVjgeJ6VYcqnNoSckiZcEQgF/FNa/tbzYja+22X2HijcskbbTghftPXnGuA/+jcaLt2sgoaFT8vrvFGjqPv7jlZoAj46O4vP5jru9xUV8teSqL+uMHxH4migjWadiupaYtggM/tyLmW3A2yjJDgl6r7LZfP5Zx6RflfrqlBbZiqKUmddWKrRPtyLbheqFS/7OoP8xp3Uwvso+RnU4HQqFQtFrJpudTOQ60aqZkwEhRNWGyVDuGzadT93URMnZWrBOtGGya8Q7NDREIpEAKL7f9fAH1HWdRx99lLvuuotHHnmEnp4err/+er7//e+zePHi0/LztYDfXCzEcy9g3lCviO5CoVCmmNF1nWg0SkdHB5FI5LS4Uc9nrPjYIXjoUxrpPlB9cP6HLLouPPajOxMxA7W1Mrm7PFP9TaYaPVZaDGjCz/4fNDP4ZBiPX3DGO0xWXj/53Ht+ofDsv2qE2hwlAhKECq/9j5lb3qYqq8a3xzjyo2Voqgd/WOOiT5i0rKtuSvO++c2IvXshGoVCAZHPU/jhD5FzjCw/HvhXrEAMDoLX6xTRhoH5x3+MceutJ/xcaoG0nZ10T6g+6TSVFqCZTIZ0Ok02m8UwjKKCwuPx4Pf7pyUQvV4nYlpPC+58j5dwm0TxOMTC+GHB1V/TCU98VJV77kG77TbkkiXOD3QdMTaGXkP7mZGF713jY/ywQPFIbFPgCUhu/GWh+Dz1wsv/q7Lt31V8jWDmBZ6gU4S63hBTIbZvx/f7vw+FgsM0CIH+9a9jX3EFyr334vnc55wHWhbmW99api6ZDlLCi99W2fVztcj5vOrPTZZcMrf2Gykl2WyW4eHhooJipthscOaQ+//aQ+aoQ4rlhwXxNZJXf7qCSfn/z96bx7dV3en/73OvNkuWF0m24+wJ2QMJZIGwha2UISSUttMl7ZTSnfbLlLZ8W2jpTmmnQ0une+m0hU6XmfJr51u2OIECYQ0JOwkQkgDZHNuxbNmSrO0u5/fH9ZUlWfISrwl6Xi+/ZFny1b265557znOez/PEYrg+8xnEwYOgKEghiN14Iz2nnWb1bakMXQckWlpD1MYwZH55Qqnkq9Gc8BgaRPYKDM0iYFwFC/JaEp7+DwdtL1gHN/cSg2VXGeNuyA6w526F+//VjafWRKiQ6hCElpq8776h+/fY3kIdHR10dHSg63p2Yaa2tnZSrXjHjgheul0l3iqoX2Zy8geNYZGThebchST2UHxOCn3DJtP3Myh0HfWOO1CbmtAUhZZLL+XA0qVZ1UwoFDpuVDPHA3LVYaXaW+7inL0IU6r8yr6vHsv5sT3jwuEwkUgEn89HKBQiFAqNeIFTSklHR0dWNbNnzx7OPvtsLr/8ci644IIhlauNNg4dOsSVV15Ja2sriqLwyU9+kmsLFt+klFx77bVs2rQJr9fLHXfcwYoVK8Z9X8sYF5S8aMpETRljBsMwsgkMw4Edi2t7hzgcDgKBALW1tdTU1NDc69Ux0544HQdobm4mk8kwZ86cUd2ulND0aQexZvDVWxPCdBQu+7VO5dTRI2ZGto/WYMAeAOz6vYv9TV48DSm0tCTVrjLrY/uonBcHIPZ8Pa//ZhZ6l8tSZZmC0Mk66/8cyyuFsYmZSCRCV1cXiqJkS95cejVbPl2Bq8qKtk1HLeJgwx2ZweO+Uyk8a9YgQyEQgiPxRbQcnY7rX9Yx+4un9JsYjTWU++/HvXGj5SECyIYGUs8+C4NIpicS8RbBQ9c7iR22yjjO+ILG3H8auUdGIRlnl68FAoE8D4piaUSFz+2+qX1rPeEHG1FUFYHCzEt6WLQxhdttDTwrdu3C8/3vI2dYdRvi6FHk3LloN9005P02NPjLP7mJHraUEKZpqXfW3ZYhNMoxwHdf6cp6PQkVetrg9M/qzBnAo0S89BKO22+HdBpj40bMc8+FVAr3ZZchKyvB4wHDQLS3k/n974dEWEoJHbsFqYjAP11SPfPYjjOT6R+bbRMzQ1FQRPYJHv6yM6c/hHiz4NJflSCvYjHUBx+EaNQqG+tVEelp2PZvTtpeUBBCUjtPcs7XNEs9VIS4Ltb+SsVMF1OIjYTUkRLSXZa60jWwqG1M8cTNDp7/tQNvnfXdm5pFHl792sCpgnapQ0dHB7FYjMrKSoLBIMFgcMzN/48XFDODL2x3hcqJgSbYE6GcyEU6nSb9299S8Ze/kKipwako+OJxjJtvRjn99AnbrzL6UKwEq7C9FXrVDVR+JaWks7OT9vZ2UqlUNpWrpqZmxASjaZq8+uqrNDU1cf/992OaJpdeeikbNmxg2bJlE05gtrS00NLSwooVK4jFYqxcuZK///3vLFmyJPueTZs28dOf/pRNmzaxfft2rr32WrZv3z6Be13GGKLkQGbySxHKOG4xVBIgmUzmETMulysblb1kyZJ+HarX683KIY8XVFRUEI1GR327egq63rSMI8EqLUhFIbJfUtFg9CNmJuLmlCsVB0jucxGcIXH6rAF3zBA0OpazdI21v+GAzt4fVoAJOCSmAT2dOvt2v0lSi2cn2XYpjNfrpba2NqugEEIQOaxhGp7eCGSBu8qKB01FwNcwyA673dbkNJVib/JCth95P4qeRH9wIW+EnVz0A230o5UHgPn2t5Pctg3Hvfci/X6MD35wwOSnyYCHv+LgwFYFPSFAgYe+5KR2fmbYJRiGYdDV1ZX1FrLLHOvr61mwYEHJ9jxQGlG/z1ht0vJ2gz13C7oPCPSESndrGunpjfxVFBoWLiSwY4dlJFxdTctFFyH27Ss5wS7s+0zdil+ecZKJkRQ4PJJURGCMQRicNODoLoGWFCCxSmAG6YrlsmVoP/pR/h9jMYsctL9DVbV+IhEYAlEjBIQWS4a73pOb3GKf86HEZpeC4so3MZW9fFVJwtbvx7jiin5/fn2TSuuzAv9MawOdewSv/EXl1I8beeUJQzGcLPQ4KWaUnFsOMxSlTm6bE8Iqi5po+KdLkNZ3LhTIJASVDf3bQykT4BkzZoxKesuJiOGawRdrc7klpgMRicXIxJH66kgp87xmFEXh5B07cDc24q2tRQCipQX9pZcwykTNpMBwDZOLkTmdnZ3EYjFSqRRSymy/6XK5SKfTHD16NLsIM1zD5FQqxWOPPUZTUxNPPvkk8+bNY/369fztb3+jvr5+UvUjjY2NNDY2AuD3+1m8eDHNzc15RM1dd93FlVdeiRCCNWvW0NXVRUtLS/b/ynhroEzUlDFmKJ6wYEnX7VXxWCyGx+PJRmVXVVUNOhA/lojuiYbH4yGZTA7+xmFASonqBpdfko5JnJUSUwdTF7hr+gb5kw3eOkl4t8Dps1JJTA0qArb5pUCRLuqWgJ6BTNJErUqSTujEwwb1cy25uy15L1y1tttWPG4Sjc6hx9BQ3CZG0oEwVd5sPUBFvM8DIH20gr3/4ycTcTD1dMnSjQaqS6B997u4/u//5YXmS/HShpjdgFzso3u/QtvzCtPPGucElQUL0L/whfH9zGOEacCbD6hocYFwAgZ07Vd4vUmw6pqBJ+2254g9STcMg5qaGgKBwJj5EaiqQvvzTl7/mwOhQudOL9EXAqz/XaZPjbBqFaK5GbOnh3R9PfW9bS+dTg/oN5E7yfEumELniz68Ich0qbirxJh4hzh9kmSHgsNnKStSXeKYtLEZV4A9XZfR86aT0JRO5gaeQTidfSVgo4Tc0hbb9Hk0z3nVDMn0swwOPqqiuCRmBha8wxi2iXP3AXB4++x7nH5J9/78xKWhYjieE/Yqdq5ywm5zyWSaRKeJqEijKPltbqCSv/GasJz8QYN99yq0PK2CsJJ/LvqhteI+UhPgMoaOY4maLlTqFHrVFfrqlFLq5KpgM5lM9pzH43Gqqqryzrlz9mzEzp3Z/ZCaBsHgmH0vZYwdbEN4VVWzi7HRaBS/38+cOXMIBoPZ6zxXkZirEitGXvf09HD99dcTCAQIBoPU1NSgaRp79uyhs7OTM844gyuuuIIf/ehHE1LSdCzYv38/zz//PGeccUbe35ubm5kxY0b2+fTp02lubi4TNW8xlImaMsYM9mAwHo9nV8RjsRher5dAIMCsWbOOabXM4/GQSg0snZ5sGI19LuUxc8YXTZ74jotMzCoTWvzPOsGFYsSxl2OFZR/VeeSrTmLNAmlCaKlk5lozq55oi0eJJRtQvBreOidC8+Dze1lzwan9vE5KqiYWQd3XFZ75iQNpgOKTrLyuh5rZjdlBQMfhBM98owo9lUK4NQ6+5GTPzjCz3teCu6YG7/f/negX59N9NEhqXwXss+JwM8mJqwjteE2QOCqonCazZreTDYqKpaRRe81VhUXGdbymYsmk+mBP0m1FXTqdpqqqKhuTPpTV4niLoPV5geqAqWeYw56AG5qVwKSn6DW3Fkjd5MjTSl8kuxDI6dMRgKf3Z9DtFsjEF3+si71/ydD5qhtHQ5LadYd57mWLvLUn2ANFmg+5LEEIGk4zSUd7o5xdkOwcXmegZ+DOK7x0t36RmtRriIhGR0Mdp915zqhMnOzyVnvC5vP5CAaDLFmyZMQRq4UQAlZfqzNlhUnsiKBmrmTamuETrbXzJfsfEkhTgoBMtyCwcOQebIOh1Cr27r8pPHWDCz0p8IZM1t+RIXRK/zQim7y2n9slfwOZcxdOsIeEeBzlhRdASsxly6C6GsUBV/xF4/DjBj0dJt4FHcTUdp56anRMgCczpITmpxTizVZ/PW2NOWnvyYVQVRWv1zts81r73pprCJ9IJEilUlkVrNvtxuv1EgwGcblcWXLe5XLh+cAH8H3963DoEAIwZ8/GuPjisT/gMkYVyWQyawSsaVqeQr7YdZ6rSBwMpmnyq1/9invuuYenn36aeDxOQ0MDa9euRQjB0aNH+d3vfsctt9yCaZpZReaqVav4nu23NokQj8d597vfzX/8x39QVVWV91oxa5ITrZ8sY3CUiZoyxhQ7d+5E1/VsVPZoOLYripIlKY6XTsve5+FgKOa/iqIwdRVc9p8ZoocU3DWTdwJvo3qmZW4a3g2JdAylsZ0XdnViGIa1qjojwEXf8PDcT2swk+BwwZlf1vJIGj0NzdsUtISg7mSzqP/FrPNNGpZnSEYEvjqJy+8C+ib+h/YreBQH/vnWc9OAxOtVnLp8CpqeITMzg15ZS3KPG+G0ElQSR+Hp/23hqG8/kG+SXGqSPVptdOcfVV7+owOhSKQUrPqsxrxLx1nZM0R46yQ9RwVmr0WV6rKMT6WUeaWOPT09VFZWEggEWLRo0bBXwCKvCx6+3omWEIDENwUu+kGGikD++6SE5icV4q2C2pNMGk7tay+tzypk4mAaAqlb79WTAjnCOXjhBLuuDmbfaL/qBfoIj1xSx57sDLSCXazkyn6snqWSCKvUn2K12eghQdW04fUJ+x9QiOwVuOs8JJXlSM3gsdgqFp2UGhJJVYjCpB67vHX27NlUVlYiDUGiXUBSDo0FGyYUB8y6YGTXykmXmHS+ZnDoMUul2LhaDjuJbrTQuQ8evM6F6rTI42SX4O4rXXzsOTnk0oTBJtilEteKtrueHnzXX49oawNABoOkf/hD4l6v5TXj60B366jOWuqCdQOWLZ4IkBKev01l790qKAJMmL9B57SrjeOGrBkqCstMbX+heDyeVc3MmjWLYDBoGbgX8TfJ7ev4yEfwvfEGUlVJLl2K4803S3rquN3uE7odHS/IjUzv6OjA7XYTCoVKpi0OF8lkkkceeYSmpiaeeuopFi1axPr16/nSl75EKBQacIxlmmavyjo+4v0YbWiaxrvf/W4++MEP8q53vavf69OnT+fQoUPZ54cPH2bq1KnjuYtlTAKUiZoyxhTLly/P1j2PJtxuN5lM5rgyFnQ4HOi6XnLVYKjETDF468BbNzkn7TZyo3QjkQiaolE9pZqa2gCz5k7PV0/UQ+OpGVIRQUVQ5iVn6Gl48Don4Vet70J1wgXfy9BwWv5k9OhLgjcfUFFdMP8dBi5//uuqCzCtCT5YPiKKExxOB05Xb1lC2oWzEjAVFNVaSXe0zmDNmin9EhNyyxKKmTmWKkewfx8odjXeInjlzw58DRLFAUZa8tzPncw8Nz3u5sZDwVlf1XjkK05MDRBQ0aDhPH0XTz3VRUVFRZa4HWmCx64/OpAmVPUSddFD8MYWlaUb+ybQUsLj33aw925HNnl69ec0TvmQ9R4tYflnGHGydm66KYpau6WioPeAt2FkUcyFKCR1Eu2QjAt8UySemvz3FiuFyZWIs9ok8fxsul52A4LQ6TFigQ5ef714uyum1NES1ndhH6NUVZACPQlU9Xt7P5SKza6rq2P+/Pl5n5loh0e/7iR6WEFKWPwenVOunHwTWsUBp39eZ9mHLVLXW8eE7WPrcwrStEqxADzVlmoq1syQo6+H4+NkmmY/49p0Ok00GiWTyRC8806MvXtJh0JI08T9xhu03XQTRz7wASorK6mrq8Pn82Xb3fGywHKsSLTDvvtUKqeBolo+a/s2qSx4pzHqKW8TDSkl0Wg0O0m3/YVmzZqF3+/vd67dbveQxm2l7q8T6atTRh80TaOjo4P29nbi8TjV1dXU1dUxd+7cEZtSSylpbW2lqamJzZs3c/jwYc477zze//738/Of/3xYKVCKomSNyCcTpJR87GMfY/HixXyhRFn75Zdfzs9+9jPe//73s337dqqrq8tlT29BlImaMsYUY3VTtH1qjieixvap8fst44uREDMThnAY9cknQdcxTz8dOX16ybfakzXbj0jTtGxZy7Rp0wY9d65Kywi1EIceUwi/olA5zTIHTXfD0z9xsj4nvrvlWYWHr3ciFMvI8o0tKpf8IpOnvKlfblI7z6Rzr0BxWsauKz6j5U2+fFMksWZBRa31f4kOqOxd0BhO3X+xhI5cA1Gb1LG3WzjQTBzwoZt1VuGQqaC6rUltJkZRosY275wIaJrGlEuOcqrMcOgRF54qydIrU0yZOxW/f+Gotul0N6g580zFKcjE8t8T2SvYe7cDT620CBkNnv6xk4XvNHBVgn+aRE9apVr0et+qbknsSF9DME34x+edvPY3FSkFtfNM3nlnmsrBjKmPAa9vVnj6x06LKFHhnG9oTF3VR8IOxdBxzXkQaxagGjiDEk1zFTWtTafT/SY6brcbOduDUjGPRKeKwyPREgqhRUbJiO+BYrOnT58+4MD6mZ9aUVPhlwAAIABJREFUJE1lo+Wx9cr/OKg7WdK4cvIRz0JAxSQY71dOtQySTd0ibvWU1VYqSpyfkcJWcRX22fZKuppIIF0uFCFweb14gJkVFfgXLsy2s46OjrwJto1S/ia5BPakuw8OAiMtEIqwyH2scyMUgZHpWxg4nmFP0sPhMLFYDL/fTygUYubMmaPmLzRcX51Cs2SbwM697xbzDxvMV6cMC3Yfb5c0maaZ9RcqRsgNF6Zp8sILL9DU1MQ//vEPKioqWLduHbfccguLFi064c7FE088wR/+8AdOOeUUTj31VAC++93vcvDgQQCuvvpq1q1bx6ZNm5g3bx5er5fbb799Ine5jAlCmagpY0wxVp1rRUUFiUSC2tpJEG0xRFRUVJBMJvH5fAPGZU/aG9LRo7g+9zlER4c1Y/nDH8jccgty3jygb2XNJmZy/UaWLl06at4TWo/o9RKxnjsqINWV/56X/2xNMO3kk9gRwetNCis+1ae0cLjhvJs13nxQJdUBdaf0nxyef1OGv73HQ7ITkOCrk5z9FS3vPVJak2JTs4xLlSK96nASOoqtXiu1cQyq6GwxUCo0tC4Hql/j5f2v4W7rM0fu2efn1V/XoXU7qDvF4OwvG1TWj23kaqlkpqXrA5z1weoxjXydsdbkhV87UJ3WqrWpwdTV+ecwHRUoDpklrlSLAyETt0guPQnuakkmZjUo4ZQIKfJIwl3/pbL7TgeuaolQJJ17BVs+7eLd/zv82KbIPkHHawouv2TamSZqzrwm3mqRSJ4aicMNmR548iYHV9yZ6efPNBBUF9TMkYCCVWY1uNdE3kQnkOHcnzfzzE11pI6q1CzvYdbndrNjh3W8qqricDiQUpKKazTfU0/yzVpqZlax8mo/U07xD/m8d+yxVHNA9tqJHRY0rhz68b7VMPMck3nrdfbd6wBFIoCzb9RwjUMYXDET4Omnn07VSy8hej0WRGcn+jnnDLqKbRPYQ1UlFsb9FiN4JgOp45si8U8ziTUreGol6YigcqpJ5ZTjk6SRUhKLxbLnHcj6iE2WVK7hGHTbZX+5bW6gsj+73dmx0sXa3WT4DkYbdtlQOBwmEolQUVFBKBTilFNOGZVF0p6eHh5++GE2b97Mjh07OPnkk1m/fj3XXXcdgUBg8A0cxzjnnHMGtUMQQvDzn/98nPaojMmKMlFTxphiLBU1YxF3PZooVMz4/X52796dd9Mv9TgZBpuFUO+9FxGJIG0X+vZ29N/+lsNXX01nZyepVAq/308gEBi12uRiCC0xUVRrou3wQE+bYN5l+V4RpoY1R+2FUEDq/bfl9MKCDaV9JupOhg/8I8UbW1QUFeZvMPL8T0wdHr/JwcFHVYSAmrmSi27J9I/GbW9H2bkT3G7MVatggEFO0dXrqRD8seCJ7zjpOSqoW2hyztd0KqetzA42uw7rvPjDAMJlIGpSHHpW5a7PxznpX/cA+YqJUiVYdrvrOQqdryk4vNCw3MwjnwrLWnKTmWbPnj2uiS0LLjfQU1Z0suqGNV/S+pXA1c4zUT2W+sbltyLa/TNkVh3iqLD8c7retKKtTROcXsmci/sInyM7FFD6SDiXj2zpXS60JDx/m4Mj2y2FyOprdapn9e3PwUcVnvyeE2lY6+qNK0zO+46W3W6i3TIBt0kZlw/iMUG6CxxjoN7JReFEp/5iWHYxWHvqxTRPzcZm20Ss3+/n8O8XEN3uR/XptB2Gf+zOsOCG5xEu64JTVXVAT52qWQ46d6v4GiyyzfIaOj4ntOOJS36hseifDWKHBQ2n5vsujSYMw8gqpbq6SpgAL16MqWmof/kLAPrGjRjr1w+67VwCu7Jy4BrOXFInckCnfacAZxrfggi62aeisO+7duRvMULHfj5W91nVCWu/rfHcL5107hU0rDRZ+RmtdCT8JEQx1UwwGGT58uXDKj2ZjDiWsr9ivjr2vXcgMnE8291oIJ1OEw6HCYfD2cVQu2R1pPstpaS5uZmmpiaampo4evQoF1xwAVdeeSW33XZbOe2tjDKKQAzC6JVHS2WMCFLKPJnzaCEWi/Hmm2+ybNmyUd/2sWIopUzQfzWn8DG37trhcAxI6AzkazLaUH/yE2hqIlVTQzqTQXR1oc+YQfzmm6mtraWiomLc9uXwkwpP/8SBFhPMWGuw6rM6zhxeaP9DCk98x4nTZ03+pC54+08yBBeNbpe25x6V7bc4qJxqbbenTTDnbQZn39jHConXX8f12c9CIgGmiVy4kMyPfwzHSGQZGnkqDBuHt1nHbK/aSgnxZsE/353G4c6PXC0swcptd4kDXt781QKkrqKgEDglzdLPtqCZVhS1pmlUV1cTDFpR6WNZfihN2HOXSvM2BW+95JQP6fiOgbAIvyJ4+MsuYocFoaUmF/ybhr/3nEkTnvyeg/0Pq+hJS6m16rM6S97bR+Bt+3cHO37ksAi43nK72rmSDz2azvucR77qYP9DKp4ay+fF6YPL/5DOknv/+x4XQrUIQikhfkSw9tsa086wrvdEO9xzlRtXpcRZAekooMAV/50pes7HEgPFZgcCAcsYNA53rndTUW/FXisOSEcEF96iMWWFmRe7mjvJyfPXOQKv/3IuWtSJkAr153Yx/18ieDzjO7kebWhJ6NhtEW/BxXJYiqiJRO557+joQNd1amtrs9f7gN+/fb8bw/tA2wuCR77qwtQl0hRMWWmy9tta3vWR629SrM3ZSp3csr+Byq9KeTmdSLDPuz1Jl1ISDAYJhUKTRjUz2WG3u8L+rvCnlK9OsTY4lCSkke6zrZYKh8MoikIoFCIUCo3YQw6sccezzz5LU1MTDz30EH6/n8suu4wNGzYwf/78crsqowwLJS+EsqKmjDGFXcoz3MSjwWCXPk0khkLMFCtlGorHhL3dQjO9dNqaLOcOBGwMptIZrpGelJKenp5sKZNaVcXCeBzF6aTK48GpqmjvfS/V06YNeZujhelnmUw/qzQBOOsCE6Fo7L3bMhNe+gFt1EkagK7XBYqzb17i8ks69+VPZBw/+QkynYaGBpAS8eqrqJs3Y7zzncf0maUm7G6/tJQavf40ehIcPpldxR1q5GrTHU58PgMqUqTTSVqeceB5WKf+jFS2dj8ejxOLxdi/f38/KXhh2xsJmfjCb1Re/pMDp19iPKdwZIfCZf+ZGXYEd2iJ5D13pYu+JhQ48wadGeeaJMKC2jlmP1XOymt09t2r0r5LwdSt/5l1oZ41JwYwMnDgYZXKKdbrTi/0tEP4ZYUZ55qWp1Bc4Guwti0ECEWi9fR9jrcOzrpBY9v3naS7wemTrP2WNm4kzXBjs4Vq+aO07lB61TBQEZAI1T7GvtjVkj4Tp8KZF1pG0MJl4AxW5nnq2OUIhZNrWzFRSi0xkaROshP+8QUXPS0CKS1V14X/rk1K42/oS+rp6OggFotRWVlJMBjk5JNPHh4ROw6Trqd/7ER1W4o4KSUtzygc2a4w45w+BdyQ/E00DfVPf0LZvh0zFCL+oQ+RqqvL8zcJh8PDnlzb99rjAZqm0dnZSTgcJhqNUllZSSgUOiFUMxOB3HY3FJTy1cl9PhRfHbsNDtVXx1bJtbe3093dnT3vp5122qioWmKxGA899BBNTU0899xznHbaaVx22WV8+ctfpqamZvANjBE++tGPcu+991JfX8+uXbv6vb5161be8Y53MGfOHADe9a538fWvf328d7OMMvJQJmrKGHOMBVHjcDiyN7DxwrESM8eK4Zjp5cpzC6NW7ee6bqk8CuN9c383TZN4PE5XVxc9PT14vV4CgQAnnXQSvmXLUOfMQf3TnxC6jv6BD2BeeumoHOtoQwgrnnvW+WNrSBqYJzE1ixxBQCYqmH5mfrsUbW1gkyNCgKpCODzq+xJaKpn9NoP9/1ARigQEZ39VG9LcKZ1OZ0uZjuydjcMj8ChOqqr9OFNO5jQuYeGK/tdbKY+JwsEm9LXnQiKn1EBTStj9Nwe+KRLFCSCJtwhan1dG/bwqKsxcW3qbLi8sfJdBMiJw+yWeGsn+f6jMOs/Mxj4LFYTDSgRSlV5xgQlK73xHCJh+lsGhx1W89RZBozgEocX5feOMc00aVqRJRQTekMQxAmunTI9VFpbshMZV/T2YBovNFkIQb4WWxxUcHmhcbeYpQxweq1xMSwpUl3Xs6W6rnGw4cHigZi7sf8BJ9JCL2vmSmeeZJdtuKcVELqlTrAymWNsbC1LnpTscxI8IKhslUkLnHoXdf1NZ9uGJifMuhG0CbKul7KSeyeQ5UgrJDrJErej1Kis0EB8KHD/9Kep99yGrq3Hs30/17t1U3HabRagPgKLtrjNOrMXEdKWQrmS/yfVAZOJ4JhHlqmY6OjowTTNr7r9kyZJJfd5PRAzHV8cwjH7edUP11bFJt2QySSwWQ9d1gsEgjY2NLFq0aFRKmg4cOEBTUxNbtmyhs7OTCy+8kE984hOceeaZY64KGiquuuoqrrnmGq688sqS7zn33HO59957x3GvyihjYEyOq6eMMo4Bg8VdjxTjTcyMBLm+JnaqVCnkxvvGYjEikQixWIx0Oo2iKHk/mqYRiURIJBLWTX/+fFzf/W7fQJMB9HojgDStn2LGvOMJQ4Od/6Vy4GEVl1+y8tM69cv62sDcSw1anxcceEgFaRJYIFnx6XwzHPPMM1H/+lekxwOaZpU/LV8+6vsqBJxxnc6ctxmkugQ1c2VeylUu7PPa2dlJV1cXTqeT2tpapk2bxqK3VXHwYQdej8TIWO08uLA4iTEcj4liZGKquxtz2zYS0Shdc+YQr7OMYxRFweFwkug5Bd1p4nSpKIqCoTtIZ9Louhj3wV/b8wr+RhMjLdASAiS0vahkiRpFhVM/rvPcrxwoikVa1C2VTDmt77s7/fM6ihNadihU1EpWf06jsrH/OXL5wOUbGbmtJWHz1S469ljlNy/dAWden6Hh/MiQYrMBOl4TPHidCz1tXY/BhSYX/VDLlhnqKau8q26pSToqcFRIVCck2gTBBUPffynhsW86OPiIilAt8mfxewxW/WsRYymGn7hWLOY3kUjkPR+KYa1dbpo3sdF167rOUUjGDguc3j7llOqWxI9M7H2imAmwndpyPHlDNJ5ucuhRlcpGaZUqqhAYRlsDwDBQt2xBNjaCqiL9fkRrK8quXZhr1w74r4WT6679gme+6STVafUJKz6js/CdRu/HGP1Kr2yV6lCSiAoJnmNJItJ1PauW6u7uxufzjaohbBnjA1VVUVV1yL46mUwmq45sbW3NW6BTVTV7/4fSvjq2gtb29MmFrus8/fTTbN68mYcffpja2lrWr1/PL3/5S+bOnTspxsWFWLt2Lfv375/o3SijjGGhTNSUMeYYy+Sn3LjrkeJ4ImaOFclkMnuDjsVieDweAoFA0YjF0Si9Gq4sV0p48bcqO3/vQJoWEXLml/QJM2F86XcqL/+3g4qgJN0lePCLLi69LUPN7L7Y1XPev5vVz/0Is60Tf0RitHwDWbM4uw39U5+CaBT1wQfB5UL/3OcwTz99TPZXCHpNRfMnLnYyUyQSIRKJIKUsOUFf/a8GRkqh+SkFh0ey5otaP9XHsaAfmZhO4/ra11BeftnaW4cD7Uc/wly9OjvQzHzA5NU/eTA9BkYSnIEEcf9enn8+f9V6oNKr0fKXcFVJjt6v9ioEASQOT/73cvK/GNTMkbQ9r+CbIpm33shru65KOOuG4uTDaKP5SYXOfYKKOmslNhXXePh7cO785iHFZgM88zMr2amy0bo2O15V2P+gyvz11nfv8JBVB1U2SgwNkmFRlHwaCF2vCw4/rlI5VSKERXLt/l+Vkz+k4xmhUv5YSJ1Cjwk7hSiP1JGS6Q88wNS770YxTZKrV9P1xS/irKmhelE1Lc97cfoBKdBTgrpTxjdufEgmwMchTv+cjjQEzdus5LSzv6pRe9Iw+ydFAYcDDMNSOILVwI+B/H3sm07SUfA1WMT2sz93UH+KSe08OeQyZ8gndXLJxEgkkn1uq2JzCfJi6jBN07LG37ZqZurUqaOinihj8sIuZWtvbycWi1FVVUVDQwOLFy8uubBRqs+zlTqHDh3ixhtvzKp17HtGa2srM2fO5PTTT+e6665j9uzZNDQ00NDQcNz2LQDbtm1j+fLlTJ06lR/84AcsXbp0onepjLc4ykRNGWOOsUx+SiQSx0zUvBWImVQqlSVmotEobrc7G6vp9/sHHLSNZelVKR+dlkd9vPAbN746a6X09ftUvHUyL1Z7PPHG/VaZisNteY7EDlvKiprZvfuTTuO64Xpc6STMDUBXF8oNN5D585/B/s48HvSvfQ39xhv7tPpjDNM0icViWeWEpmlZI9jBVtBdlbD2W5rlxaIe++7qaXjlf1Q69yjUzjNZ+gEjr2xGefhhlF27kPX11ofEYji+/30yf/1rdgXvjE9DaDYc2e7CWydZulFQETw573MMw0Bu2YLjT3/CNAwiV1xB1+rVdHR0ZNteMdPQUuV/pa4Jd7VtlCoRQqCokOzI/3KEgBnnmHl+GeMNeyX1zb0GiUQDZoWB0+nCV+VFj6ksWbJ0yOc02SFw5lTtoUC6q+91IeC8mzQe+pKVRoYJp12tUztveBNnPW1t294v0fu7UdxWaMwwHI8J8dhjOJuaMOrrMRWFyueew/jNb2j52MfwnH4U764QrTtqAEno3Ha6G9rYubN0u3O5RhbxW8oEuK6ujgULFpwwE3RXJZz7DS3PH2rYEAL9wx/Gcdtt4HSCrmPOmYN52mnD2oypQ/SAoHKa1d7VXolp9JAY9jUwHFInS2T33m9TqVR2cp6rjLXVEPbf29vbi7a98QwlKGN00dPTkzUCNgxj2CWMA/V5UkrcbjdXXXUVmzdvJhqNcsEFF7By5UqmTp1KR0cHbW1t7Nmzh8cee4yjR4/S1tZGT08P8+fP5y+9KXDHC1asWMGBAweorKxk06ZNXHHFFezdu3eid6uMtzjKRE0ZY46xJmqGircCMZNOp/OIGafTma1BX7x48YgH6137BYl2QdV0k8rGvr8fa+lVbglWOBzm1QfqSWVA77GUOiYOXtms4Tv/cEm1xFieL6cPMlGgl2CQgKMip820tSGiUaTta1BTgzh6FNHcjFywwDoGA169U6XlGSf+qZLlH9X7x3ePELbxs72CnkqlqKqqIhAIDN8QtBcjKTuTErZ+xcnhJxRUN+x/UOHoiwpv+1GfZ46IRnt/6f2Dx4OIRPK2IwTMW2cy71LDWv0usirofPxxXN/8JrL3GL233krdD3+Iee65BfvUP4FoIF+TXDm42+0m1tVI9fwKVIdAVRWQgkxs4vsK0zSzq+eRSAQhBIFAgAXn19H8Fy9SFzickOqw4uWHc7lMP9Pktf+n4mu0Up2AfsqQ4ELJO/6cIX5E4Knpiz0fDmrmSnz1kp6jApffUq+FFpvHtK2xQudewZPfc9LTJph9ocGZ7l0IRcFhlwSEQgT27aNy/nwATvmJlfyFAIdnGppWX7QMplTEbylCJzftr9AE2C5rOdZr/njCSLt94z3vQTY2orzwArKuzooTH2YSn+KAyqmSdBd4ai3iBpNhK8qGCyEEuq5n+3td1wkEAkyfPp3q6uq8+3yxRZR0Ok00Gu3nbQIMWH413kmTZfSH3d+3t7cTiUTweDyEQiGWLl06pLKowaBpGtu3b6epqYlHHnmEhoYGLrvsMm6//XZmzpx5Qp/7qqqq7O/r1q3jM5/5DOFwmFAoNIF7VcZbHWWipowxx1iWPkUKJna5eCsQM5lMJkvMdHd3Z71GRsskLhc7/6jy4m8d2dXuc76uDWjAWgoDrRxqy1XizziorPEhkfRkoGFehrreNI6xLr0qxGmf0nn065a0XZpQNUsy4+y+Y5bVva6WmQy4XH0eNDnJBtt/4ODV/8+B6pKYmuDwEwqX/zGTVSoA9ByFJ7/npPM1hcBCk7Nu0AaNoU4mk1nFjJ3QEwgEWLhw4bhGpRdD7LCg+SkFX4PVVqSElqcVogcF1bOsa9BctgypqlZsudsNHR0Y69b125bS1ITz+9+HZBLzjDPQbroJqvtin9S77kI6HNA7yJKRCOrdd/cjaoaUQNSLQjl4Op0muDJO63YXVGfQDEk6olLdsJ+nnuooOanJrfMfrfMxUGz2nDlz8iTu//RzjR0/cpIIw9yLTVaW8HwphVM/oaMlYf+DKo4KqwyuYXlxT53A/GOfnDor4G23Znj6J0669wsaV1r+NGKMRCCZHjjwkEomBlNWmIMmwsVb4X/f40bvscyhn/uVg+pTp7HcMMhKO3p6kL0kTfa4std4X6nKYChl0B2Px0mlUiQSCVKpFLquZ0tgvF4vwWAwS1zH43EymUx5Yj0QhMA899xsPyElpCOgesh6MA0F535D46HrLQJPmnDKR/QxSRi0S9nC4TBdXV14vd4hTdCHs4gipexXfmUvpOSSOqUIxcK+r5+fUxnHhEwmk1XN9PT0UFtbSygUYt68eaNS1huJRHjggQdoamri5Zdf5owzzmDDhg3cdNNNg3rPnUhobW3Nlm7t2LED0zQJBoMTvVtlvMUhBknjGdtlgTLeMshdqR4tpNNpXnrpJVavXg0MjZjJfTwekWsC293djaqq1NbWUltbS3V19ZjFgnYfENxzlYuKoERxWCvFRlrw3nvSw/aPOfSE5XPh8kkWv8+ganrfOcrEoOnTLroPCARWuselt2XwTxu47ZRaNcx9HErpVTFPk/ArgpZnFVx+mHORgatgrKv+/e84fvpTy/fANNE/9SmM974XsCKb/+tsD55aExdxTMVFT5ebi36gZctjjAz8faOL7oMKbr8kHRNUzzS54n8yebHMdkmLfe5tf6FAIJBN6Jks6D4guOsDLipCfURNsgMu/0OGmjl951LZupXMzb8m3unBe958XN+5ti8hCxAvv4zr4x8Hv98ic9rbMdeuRfv3f8++x/mVr6A89BDYA6pwGOPii9G/851RPSYp4eU/qbzyPxYRsmSjztIPGIDMS+MofCxM4xjIS8eO9hVCcPBRhUOPKfgaJQve20NXtH9sdjAYHJVV1KEc+yRqXiOCloDNn3ER2SdAWD5T531H61eu1n1AsOuPKlqPQHVJdv3Zgbv32jcNIJnm0xdejfLSS5bPSWUlmV/8Ajl79qjubykT4NraWhwOR78kmEKviUIye6AUouOR1NHTkGgXeKplv755qEh1wcPXu2h/2Tr25R/XWfbhoavPMnGLnHZXyzyl6UggpSSRSGQn6LZqJhgMUlNTM+EESClCMbcdFpI6Axklj3by2vGM3HSucG9CZCgUoq6uDp/PN+JrVErJ3r17sylNqVSKiy++mMsvv5yVK1eesOdh48aNbN26lXA4TENDA9/61rey9+arr76an/3sZ/zyl7/E4XBQUVHBrbfeyllnnTXBe13GWwQlL+oyUVPGuEDTtKxPxGjBNE22bdvGmWeeeUITM11dXdl0HkVRssRMTU3NmBEzhWh9TuHBLzrx1vV9vz1tgnfdmR5WecIb9ys8cZMTxWnJxF2VcNlv03mD255WeOTrTiL7FEKnmJx9g15USi6ltQ11mIElxUqvCgebdlstFetbWHol3njDKneaMiVvVV1Pw/+cqXFe13XUxbaDUNhZ/Qmm/O5jzDjXOqbIPsFd/+KmorbvGJMRwWW/T0CgI3vuVVXNEjNVVVWTejBlGrDl/7jQt+1kivkcCaOW5JmX8PZfW94uNt78h8Lj3+47gWd/VWPu2/v6CfWvf8Vxyy19kbm6Dj09pB95JPse8coruD75SUQ6DVIiPR4yv/kNctGiMT/O4aLQW6LY77quc+iv0zh4+0mA1c69s2Os+fWrBOssQjY3vaOM4eH1zQpP3GyVIYI1yXZVwjv/0kdoxI4I7vuoCz0JilPS06qQioKvt68zdauNf+K5GOpLL0I6jbl0KdSM0PmY0ibAwWBwRCbA9sS6WH+XO7G2MRChM1lInY7XBA/+XxeZuDXKPfMGjbmXDH+c8chXnex/WMFXbyWOJcLwtls1pq2ZGANoWzVTUVFBKBQiFAqNCyE7VihlWFv43B6/2ffdgdrgZL7/HQsKz73P56Ouri6rlBspMpkM27ZtY9OmTTz66KPMmDGD9evXs379eqZNmzbh13IZZbzFUfICLJc+lTEuGI2bQDHFTFVVFdu2bQOskhr7Rl64Sl00VnUSQtf1PGIGoLa2lmAwyEknnTTukcQ2qmaYKApoPZZvS7ITvEGJJzC87ez6Lwcuv8TVq6aNNQsOPKz2KhN6Y3q/5ST8ioKnRtL+gsKWa5xc/of8UqHD26wJfiYKdSebrL1Jw1ef/1lSQvyIwNCgarrMeq4M1bRx2KlXPh/uTAbX3r157e+Cmp9S++ZTJJz1IE2Wdd+GMz4XOB8AR4VVVmWaEsPUyaR1Uj2we99OpizwjqrEebygqHDJJXfBvV/BSOooTgVn9x8wjduxJVipLnj8206cXis9SE/BE99xMnV1OuvhI2tqEPRe+0JAIoGsy2cG5ZIlZG6/HfXeewEw1q/vV4IyWWCbJBdOukzTJBqN9g7UOzn0h7moLonqEkgpSB2sJv7kHKovC9PS0pJti8VMkkuVYE32vm+8oCdFnlJCdYHWk39/OrhVIRMnS+YI1SQZUUh3Yw2nhJU+JFxOzFWrRrQ/Ukpi0TgHX4oS6ejGURcnWFcz6ibAuWquoexT4YTaLoHJ9dSxtzuYp85olv5l99GEh77kQk9JvCGLFH/ye05CSzN5Ks2hoO0FBU9Nr9e7A5CCzj2CaWtGdZeLoqenh46ODsLhMJlMhkAgQENDAwsXLjxhrtnhmHTn3neLeYkVLqYU9n3F2uBkvXemUinC4TDt7e2k0+lRPfdSSjo7O9myZQubN2/mtdde46yzzmL9+vV8//vfz8bLl1FGGZMbZaKmjEmLoZQyLV68ODsAzDUKtQeWualDuSs2A6mvWfVdAAAgAElEQVQkcssPxhp2bHJnZ2fWb6empoba2lrmzp07YcRMIbx1sPYmjce+6aSnDbwhyQX/puWpI4YC0yCfNxbWgNtGsgPaX7aijYWwjHsTYUFkn6B+mXXuoocFW7/sxFkBvinQ/qrCI191se7XfaSJqcOj33Bw8BEVISCwQPK2WzO4qxkyhhvrW7hKaKdezTa3ooXckNZQnCYOVw/tj91PxyyLWUqnM3iWN9LxeB2KquBQnSy5QnLOuuXHdbmJ46bvEk9VoCse0CXex15G3bIVseHtgBXjjLRIGrAetURvGUOvusg8/3yMNWtQduywZlFOJ9qNN/b7LDl/PvrnPz9uxzZS2GUNtnIimUxSVVVFMBjk5EXTecJ04KiQ2GN1UwF3JshJJxVvwLkTG7v95Zok5yoaHQ5H3iQmdaiSnT8NkTrqpGG5yTlfM/DVTWDDkxJx8CCkUlYZ0Sib4tYvN1EckO62/EiSYcGid+enyhUKjRUHTFtjMvUMk542wazzTeatP/YkulwT4O7OOId/t5j4qzNwOOcQmAen/UdmxLHkI4EQIrvAMRiKlZ2mUqm8iXWx0r9SaomhkjrpbkhFyHp5OdyQEVYJ0nCJmqoZJu2vKDjcfefe1zA2gnLDMIhEIoTDYSKRSFY1s3jx4iElPp3oGO59t9AgPpPJZMMJipE6g7W/sSR1pJREo1Ha29vp7OxEVVXq6upYuHDhqBAnpmmye/duNm/ezJYtWzAMg0suuYSvfOUrnHrqqeNO/H30ox/l3nvvpb6+nl27dvV7XUrJtddey6ZNm/B6vdxxxx2sWLFiXPexjDImOybHLLCMEx5DGXiN1PxXVVW8Xu+gN7xcCfhgUdK5Kp1SpS/DufkZhkF3d3eWmDFNM0vMzJ49e0grThOFaWtM3ntvmnQUa/XxGO75i99rsP2HDkzNMtZ1emFGjiGxww1Ii7wRqjVolgaoOfOFzj0CKS1lD1jlCOGXBUYmK9Zgz10q+x9yUNkgQUB4t+DZXzg468vDM1MdKnInNoWGjc4li1FSz0HQgaHrmC0KqUCAzs5OPB4PFRUVnPaFLlpP1+l+04GrIYZ7dZjt24deejXpICWZ5jiGUo3qABAYSejcnqR+g/UWX4NEcVrGri6fpdZSHOCbkjNBcjjQfvhDlGeegVgMefLJyMZRMoEYZxR6DFVUVBAMBpk/f36/kpaqGSbRQwpOn8TUACGYeUFpYsA2SR5K35erEosd1dn+tTr0jET1JnjjMZXWj/ew4IZXEIKSk5ox8zQxDBzf+AbqP/5heT41NpL+xS/6St9GAbVzJRf9QOPpHztIR60+acXV+f3CrPNNdv0Beo4KFIdETwtWXK0zf8OxkTOmadLd3Z01gBZCZGN0xc5a9r3mpHqq9d7IXsus+KwbxqavGm0Mx6zWJnVyJ9b2vXcofk55hE6FC2elK1u6ZmjWvSKv/xgi1lyvc/81LhId1jZmrDWYfdHolT3les1kMpkTMjZ9IjAcg3igJKmT+9wwrGvc9rIr1ffZSp3B+j9d17OKqWg0SlVVFaFQiNmzZ4/KQlw6nebxxx+nqamJJ554gjlz5nDZZZdx5513MmXKlAkdH1x11VVcc801XHnllUVfb2pqYu/evezdu5ft27fz6U9/mu3bt4/zXpZRxuRGmagpY1xQ6mZRSMqMRypT7gBwKFHShTX9peJ8i5mEOp3ObGJHV1cXhmFkiZmZM2eOSu3xeEJxQMUwy51yseAKA0eF5M0tKs5KySlX6lTP7DvnLj8seb/Brj+rtjcvM84x8xJlPLUSafSSOQroSXBWgpLDcXXuEahOmSWTXJUQfnX8B8TJZJK2D3+Y4IsvwuHDqIB26qmEPvYxZtbU5LXtRYvt3xqAeUVLr+xI39y/2RjIoNblOrbUq2OGEDRXXcjUzgfQlGpUM40UTqJTTsOuUHP54YJ/03j4y1YqkeqC87+r4a4q2JbDgblmHGoQRhmlYrOnTp06aCLbO+9M8/f3u+k+oOCokFz43QyNK0e+wl+4Wp3cq6DixN8I4MFfBYl2LyuWrMFV1d8sNDcBJtfTpNSkOvf3obQ/dcsWHFu2WOVtioI4fBjnLbeg/eAHIz72XExZYbLh95mSr/unSf7plxl2/VEl0yOYe7HOrAuHN3EvZQI8a9asPEJ+5+sKiqvPrNnpg8jeSUi+jgJySZ3BkOvnZLe3wgWV4PsreOMX85BhBYFg7sZ2wnoP0YP9yZ2B2l/NbMk7/pymc6+Cwy0JLZEjShyzVTP2te92u8uqmUmAoS7mQZ+XXW7/19PTQyQSyf6tGKljL56kUilisRimaRIKhZg2bRpLliwZFSPg9vb2bEnT66+/zjnnnMOGDRu49dZbJ5WX0dq1a9m/f3/J1++66y6uvPJKhBCsWbOGrq4uWlpaaDxOF2PKKGMsUCZqyhgX2DeniSBmRoLhqnRSqRSRSISuri5isRi6ruNwOFAUJXts0WiUdDpNZ2dnSaXEibrKJgSc9E8mJ/1T6UnPis/ohJaadLwmqJoOcy8x8gbNDadK5r7d4M0HVOvvwkptyW02gfmSPXcLpGkpajJxjilKfLjIVU1Eo1FcLheBhgZSd96Jf/9+REUFYtkyXENYSRut0qtiqVeq6UEkvVTWK3irx6amv/0jN5P5lYvp6UdJOBrYMf3brHrbLHI96qeebqm0kmFBRUgOKxZ3smE4sdmDITAPPvpMGtOEsewKXL580tPU6C05zCdfBotoHUgpUSp1rRipU7V7Nw4hsgct/X6UPXvG7gsYADVzJOd8beiqllImwMUUU7kILpTsuy+/rxqLeOfjDaX8nPKwClKXQ/chcPjTOAM+0mkHmUyGRCJBV1dXv/Znt+tihGLVIut3hMoA3o5FYRNz4XCYdDo96hHKZYwvhuplB1boQ0dHB+3t7bS2tmb/1+/3YxhG1n8MBlaKuVwuUqkUgUAgbwxomiavvPIKmzZt4oEHHgDg0ksv5Vvf+hYnn3zycTtebG5uZsaMGdnn06dPp7m5uUzUlFFGDspETRnjgp07d3LzzTdTX1/PlClTaGhoyD42NjZS05uWMZlImqHANE1isVi2lCmTyVBVVUV9fT2LFi0qunJYLHWolErHNmksZo487iqJcYIQVunBrPNLv37213TmrTdJRaB2vsxT5QDMf4dByzMKhx5XEIpF3Kz8P6NfSqDrejYu3U5mqq2tLaqakNOmjVmM3kClV4XY/yhsvcGFoUkUp8GKrx6lcqFVlmG3v+GmXhXDqdd5eNpxC88+qOLyS1Z/Tie4qD9Z5qwA54zjc2KaSqWyk/N4PE5lZSWBQIAlS5aMysrmWI+/Q0slsy4w2P9g70RSwBlf0LMlhEPFcJUShYlX9kp1d0UFMxIJMpEICIErGiW6ejWtu3eXJHcmapKSS8x1dHSg6/oxlbQsfKfB0RctU3UE1C+T/UqxyigNTw29fj7u3p+BYSt1cttgIpHI3r9LkYqFbc/pdGZ9pnKJudHyGyljcsP2mWpvb6enp4eamhqmTJnCkiVLBiTmBlKKZTIZvvCFL9De3p6n1G5paaGuro4VK1bwoQ99iPnz52fHz8cziqUOn2jj2TLKGCnK8dxljAtSqRR79uyhpaWF1tbW7KP9YyccuVwuGhoaskROLrHT2NhIfX39hMaCSinziJlUKkVVVRW1tbUEAoFRlZ3aKp1cc+RCgid3QFmKzDnRVTqlICVEDwlMHapn9qU+jQR2OYt9/qWUWdVEbW3tpF85TUXgzvVuhNMiSDI91rrx+5rSuApEO6VKrwrboY1JVXp1jJASXvubyoFHFHwNktM+oWfNSqGPmLNVE06nMxudXFlZOemPrxikCYceV0iGBTUnmTQsn8Dbvmni+N73cNxzD1JRMGfOJHrLLaT9/qJtbyikYm4Z6kj7wFwT4Fgshs/nIxQKjbjvlxJ6WgWmYSVNjaTspozRQyGpaJcwx+NxdF1HVVVLoaiqeUa1A5X/lXF8QkpJT08P7e3thMNhgGx0+mj0/VJK2tra2Lx5M5s3b+bAgQOce+65nHXWWcybN49IJEJbW1u/n87OTkzT5L777puUSpT9+/ezfv36ombCn/rUpzj//PPZuHEjAAsXLmTr1q2T8jjKKGOMUbIDKRM1ZUwaSClJJpO0trZy5MgR2traaGlpoaWlJfv70aNH0TQt6/dgEzn2Y65ap6qqasSlVPaqqV3Okkql8Pv9WWJmstSbF1PpFD4WqnRKKSWOhwn1eMFOabDPv6ZpVFdXEwgECAQCk9r8uRjaXxbc9zFXNv4aIBURvOPPaWrnHnt3X6z0Kp1O031I8ub/qyIdhepVYWpP68quUg+k0pkowuuZnzt47pcOFFVi6gJvneTiO44SN8LZAbF97mtqao55P6WEV/+i8upfVVQnnPZJnVkXjH1p3mSBkbFIVKdPUjml4EUpoa0NkU4jp02DIUxuCyN9ixGLxZSKpSbW9mJAKRPgYDCYvb+UceLCJubDYev6d7lchEIhgsFgv3LUXE+TUm2w0NNkoDY42Un/twIKE7psYjYUCo2Kv6Bpmrz00kts3ryZ+++/H5fLxbp169iwYQOLFy8+IRbXBiJq7rvvPn72s5+xadMmtm/fzmc/+1l27NgxAXtZRhkTjjJRU8aJAyklpmnS0dGRJXLsH1ut09bWRjQaBcDtducROIUqnbq6uiw5YZomzz33HA888AAXXXQRhmFQWVmZR8wcz4PzQpVOsUfbIHSwCfVElh2MFXJjkzs7O0kkEvj9/uzkfDIZ9R0LEu2Wosbps5K09BQYKdh4fxrXwBVTw0a8Ff7+fjepLoFQJZiCtd/WmLsufzLT/JTCq3dUoScldRe0EzjvCFKOvPRquJASfrfSg3AaSHR03SATVVjyuWaWvlslEAiMmvn3a/+r8sR3HbgqrZQZPQ2X/Fxj6uoTn6yJHbHIwp42gTRgyUadM6/Xxy2KvlgfWOjtlEql0HUd0zRxOp14vV78fj8VFRXHpVKsjKEjlUplvWaSySS1tbUEg0ECgcCokSfFjGoHInWKpV7lPpZJndFDOp3OqmZSqVS2nLGmpmZUxjuJRIKtW7eyefNmtm/fzuLFi1m/fj3r1q0jGAyeUH3Jxo0b2bp1K+FwmIaGBr71rW9lx5dXX301UkquueYaNm/ejNfr5fbbb2fVqlUTvNdllDEhKBM1Zbw1YctVbZVObtmV/Xj48GG6urpIJBJ4vV4aGhqYPXs2q1evZurUqXlqHdv/40S6mZZCruw797FY2YHT6Sw5oZ7sKh3bZ6Szs5NYLIbX680SMwOZgB6v2HuPyhM3OxFIpIDzbtKY87bRJwh2/pfKUz904qu3biNaAipq4b33prPvaXtRcN9H3QhVoqigJQVnfVljyfuMrEoilcpw/9UVHGjyIiWETo+x4t/3oBmjU3plG0B3dHTy8LsX4/BInG4V1eFAi6qsvUlj4RXHFstcCvdc5aLrdZElxxJhWPAOg7NvHBtvkrYXYOcfHXiDklWfM3BNoBDwnqtctD6vUFErMQ1Idwve/uPMhCmKSpkAB4NBPB7PgOV/xeKkS5GKZtzFa3/1kOyEGWebbykF1WRGMdVMMBgkFApNiv6/UC1bjNyxSZ3c8qtS/WCZ1MmHrZq1E9pUVc2qZoYS+T2U7be0tNDU1ERTUxNHjhzh/PPP5/LLL+ecc84ZNfK/jDLKOK5R8kZTLpgt44SGEILKykrmzZvHvHnzsn//7W9/y4EDBzhy5AiLFi3i/PPPZ+3atYRCoaxvTktLCwcPHmT79u20tbXR2tpKPB4HyBI6hQodm9AJhUKoqjrhg7yRQFGUIaUe2BPqQjKnWIxvscSXQrPksR5IZjKZrAFwd3e3lcwUCDBz5kz8fv9xfc6GgvkbDBpXG/S0CiqnSnz1g//PscA08u88QgGzgId4Y7OKaYA3W4ol2f03lSXvM7KpV0/dXMH++5woDstIOry9ioM/O5XL/lPLbmc4qVdCCBRFyU6AFEWhqqqKQCDAKf8Cr/23F4Qk0yNwV0tmnD26JA2A02uVVmX33xQ4x8h/9KXfq2y5xgW9vMDTP5F8cneKiuqx+bzB0PmagrvSIu8U1VIUde0XzBqnzx+uCbCqqkMy6S5mUmubJCciBs9eP490u4ZQJC/+STD3I0eYvSE66cr/3gqwVTMdHR0kEglqamoIhUKcdNJJk+57H076kGEY/Qgd+z5sP7cXV2xSp5Ra50Rug7qu09nZSXt7O9FoFL/fTygUYubMmaNSzmwYBi+88AKbNm3iwQcfxOfzsW7dOm699VYWLlx4wo8xyiijjNFDmagp4y0Jl8vFDTfcUDTacOrUqQP+r20oXKjS2b59e7bsKhwOYxhGdnXGNkiur6/PmiLbpI7P5zuub9y5MdKDoXAyYw8kSyUOlVLo2KkbQ/nedF3PMwBWFIVAIMCUKVNYuHDhCVe+NRRUToHKKWMrmJx1vsnzt0lSEVCcoCcFyz+i5b3HUWGVHNkwDfolDr2+OWeyIC3C59CjKtC3rYFSrwpjs9PpND6fD5/Ph8fjyU5uYrEYVetepCEToPPZWjy1GWZtPMK+Fom7c3RLr077pM7mz/SW/0jw1EgWv3f0CSGAB6+zSBqhWt91JirY8hkXV/wpM/g/jwFqTjJp3yXw1FhGxooDqsY49auUCfDSpUtHrZxxoDjpff9/e3ce3VZ95g38e7VYXmRru3K8yNgxxlmcQEJidtKQjRBbCQWGpbR03pAhnbdwktMWGibvcEKZHMqZntLpmunhncLbTgIESNlsOY4TlglpQtKkkGaFELJ50WJZtmQt997f+4e5F0mWvMSyJdvP58RHlnMt/yxdS/c+epZ31VAHNOC/ikZFggzOdypw4yPOQZ8H5UDRQD1NJuNz2HDIvYbkrBmNRqMEZsb76280tVqN3NzcIU2diu7pFL0PulyufhmziYI6mTJ9bah6e3uVkqZIJAKLxYLS0lLMnDkzJY9/T08P9uzZA4fDgY8//hhXX3016uvr8fjjj8NsNqfgNyCETEZU+kTIKJEzTZxOpxLQiQ7syFk6gUAAjDHk5+crAZ3oyVdytg7P81CpVBPmoHIg8ROHEpVgJSs5yMrKgiAI6O3tRXd3NziOU3oMGY1GmrwxhlzHOBz6rQYhH4eqOhEz/kGMmWjTfZHDjvuzEPJx4Li+DItlvwrDdtPXZSEvr8j6KjCDvhQdCTBVSVjztxCSSTY2Wy5nGYrLmXo1UOlLfOmV5xSHL1rUUGcxVK2QoC8enZfbf8/PUQJcQF8GS9E8Ed/5ID2Bmq5zHN5dnYVeDwcmAdPuFHDLU0JKJx1lWhPgkzvU2PtvGuRav1pfBIgEge/uTb4PA337YKIsifjPo5skJ9sPU93TKdOFQiGl10wgEIDBYFAmdNFrwPAMpVF3osBisn1xLII60cE5t9sNnU6nlDSlYggEYwwXLlxAQ0MDHA4HXC4XbrvtNtjtdtx8881p2cccDgfWrVsHURSxZs0abNiwIeb/X3zxRTz++OMoLS0FADz66KNYs2bNmK+TENIP9aghJFMxxpQsnWQBndbWVrjdbjDGlHcDE5VdyZfjvenxcMT3mAiHwzGTWyKRSMIRvolOqNM5+n2y8l3gcPJ1NYQgUHm7iClzYl92Pv61Gu9tyOp7NfrqoSm9WcS3mr4ONKR7bHayqVfRl3LpVbLyv9HqI/GrK7IRdHOACn33IQPmPxbBbT8dnX44QxHpBbq+4KDV92XTjPjhEUUEz52DOxyGKxiMOTE3mUxpn87W08phx31ZEIJ9TbwjPRxmfVvA9T9M3WOQqAQ10Qm1bKA+JpneVyyR6OCc2+2GRqNRes1MpKyZTJYosJiop0786/FAJVjDCepEIhG43W44nU709PTAYDDAarWmrBG0KIo4ePAgGhsbsWfPHhgMBtTV1aG+vh5VVVVp3cdEUUR1dTWam5ths9lQW1uLbdu2YebMmco2L774Ig4ePIhf//rXaVsnISQh6lFDSKaSR4gbDAYYDAbMmDEj6bbyCWFHR4fSDPnSpUs4ffo0PvzwQ6W/TjAYBAAUFBQMmKUjTxkYTwexA01mqqioSJoxkShDIhQKwe/39zuRGawxKI1PTZ0CG0PtuuQnrJosDvk2BiYygAE6EyCFOXi9XiVjQh6bbbVacdVVV43osfmiRYW//k4DSeBQ8y2hLwtokD+PgUqv4iWa+BLdzynRicxIpl7d924QWxflIBLou158nZjWIA0AaHMAfubI3geSA7S+v/8dV/zwh8hzu5EPoOiHP4Tq0Ucz6jlNX8xQ93/D+Pg/NOj1cChfKOCa1aktdRtOCao8+Sq+r5jP50vaJHmgZt3p6scWCoXgdrvhcrng9/uV4FxFRQVlzaQBx3HQaDTQaDSDNuJNli3W1dUVkzWb7LlQ/hBFET09Pejs7ARjDDzPo7y8PGX95rq7u9HS0oLGxkYcPnwYc+fORX19PTZu3AiDIU2NvhI4cOAAqqqqUFlZCQC4//778eabb8YEaggh4w+9khEyjsgnhGVlZSgrK0u6nZyl09XV1S9L58SJE0qWjnxwo9VqYbVaB8zS0el0aTv5STaZqaqqasiTOaJPZAY7iJR76USfPMuNQeWTmqGcTFOWzsgVXi1Bk8OgzZMgIoJeN6Cb4cTFix2wWCwoKytL2eSMC/tUaPlhFlRaBk4FfPRvWqg1wLS7UndSPdTmoMlKr/x+f8yJjJwVm+xkOq9Sh++dj8B/ToNcnkPOOG2XkKwJ8LTnnoPO4wEKCgBBQN4vf4nw9ddDuu66dC85hvkqhtt/HRl8wzEQHXwZTKLnwkAggM7OTuXr8dliybJ0RpotJr+myb1mVCoVLBYLpk6dOiaZcyR1hhvUkZ8Lg8EgOjs7cenSJfj9fqjV6pjsr46ODmV6V7Lyv4EydRhjOHv2LBobG9HU1ASv14vFixdj7dq1uPHGGzP2DZqLFy/GHBPabDbs37+/33avv/46PvjgA1RXV+P5558f8DiSEJJ+FKghZAKSs2RMJhNMJhNqamqSbssYQygUipl21draimPHjmHPnj1K+ZWcbWI0GmOyc+QGyfJ1o9E44iydSCSiBGbSMZlpoMag0eLfFYwO6iTL0knWHJmydGLJY7O7CjzgV+Xg0vapUEGDK24SsfTnPLIN1pT/zM/e6asPytL3XWcSw8kd6pQGaoZqOIHFRBkSwWAw5t1pQRAAz9iXXo3EUJoA606fBuT7R6MBQiFwx48DGRaoGa+G+lwIDJwtNpSpQ4l6mYTDYaXXjN/vR0FBgZI1ke6SNjI2oveBQCAAk8mEyspKmEymfgGXZAHuQCAQc72xsRE7duxAQUEBLBYLcnNz0dPTg9OnT4PneSxevBjPPPMM5s2bNy72s0RtLOKPk+x2Ox544AHodDps2bIF3/3ud7F79+6xWiIh5DJQoIaQSY7jOGRnZ6OiogIVFRVJt5OzdDwejxLMkT+OHj2qZOl0dXWBMYasrKx+AR05Q6e4uBhWq1Up3fD5fGhubsbJkyexZMkSJcg0ZcqUjJ7MNJx3BSVJUk6m49+Zlq+LYl9AIH7SS6qmDWUySZKUcqbOzk5wHAez2YySkhJMf6oA+FdAigjQZAMDlPOOiDa3b1S23J5NEjBqY7OHKnTRB+9/fggWDKPgwRuQe01xv22GkyExnJPpVJReDUeyJsBlZWVJmwCzkhJwly4Bubl9Y61UKrCvmmWSsTWcUdKJGtTKgUW/34/e3l5EIhFl35azKOVyl66urgn9fDiZyT375OCMSqUCz/NDyqAdaoB72rRpmDVrFhoaGnDmzBkl+LN06VJ0dXWhvb0dzzzzDJxOp5IxZjabsXz5cvzoRz9K+e88UjabDefPn1euX7hwod8EU4vFonz+T//0T/jxj388ZusjhFweaiZMJo3HH38cb7/9NrKysnDllVfiD3/4A4xGY7qXNSExxhAMBpVATnSmTnt7Oy5evIgvvvgCXq8XgiBAr9ejrKwMU6dORU1NDaxWqzLGvLi4WDlJmywH49FNQZNNvgK+PihN1hxZnjaUieLHZofDYRiNRpjN5rRNZvGe5fDmAzqEugFwgCYLWPFCCEVz0/NSGPzcg9DN9yOntxUAIKjzILz6JxQsqRr1n50sW8zXJuCzV4wItKtQcLUbllud4LjhT72S9fb2KlkzchNgi8UCs9k8pHeyucOHoXvoIUAQAEGAWFeHyM9/DmRocJf0J2dOuVwu9PT0KFkz8vPAYNPXEpUAJsvWoVLUzCT3nHI6nejq6oJer4fVaoXFYklJRgtjDJ9//jkaGhqwc+dO9PT0YOnSpbDb7aitrR00i5AxprypUlzcP1ieboIgoLq6Gi0tLSgtLUVtbS22bt0ak03d2tqqrH3Hjh147rnn8Je//CVdSyaEfI2mPhGyc+dOLFq0CBqNRnkn4bnnnkvzqiYPv9+PLVu2oKWlBa2trbjuuuuwaNEifOMb34BKpeqXpRM99crn8wEAdDpdTN+cRFk6421ayUjETxtKNHEoWZZOosvRvt9SMTZ7tPnOczj1ZzXECHDlHSL4Gel7Gbx0z6/A79yCcFbfO6FZES+8ZTei8Oh/Dvu23Cc5HPqNBqEuDlX1IqbfM3iT5HghH7B9pQ49rRzQ9w/zHhMw739H+pVexV/K70rL+5goiohEItBqtUpwpqCg4PJKAF0uqI4dAzMawWbPxsjHSJHRxBiDz+dTes0AUCY0jaS0VS4BTLQPRgd1gNgstGRBncn0WpIOvb29StZMOByG2WwGz/MwGAwpyaKNRCLYt28fHA4H3n//fRQXF6O+vh719fUoKyubcI9tQ0MD1q9fD1EUsXr1amzcuBFPPfUU5s+fj5UrV+LJJ5/EW2+9BY1GA7PZjN/97neYPn16updNCKFADSGxduzYgddeew3//d//ne6lTH1n/vUAACAASURBVBqRSAR//OMfsXjxYpSXlw/7+xlj8Pv9/caXRwd05DRljuPA87wSyJEzc+TrRUVFynSeiXawlkyiiVfxJzLR70oPNvFqKPdbusdmj3et33gKliM7ENaaAABqMYDe/CtgPvfGsG6n60sOr9+lg9ALcBqACcD1j0dwzf+K7b3j+eMhcP/yDLRBD7pnLYJ1xwZojF8H0E6/rcbuJ7TQ6gEwBiZxkCLAmk+CSWMj8U2AI5EICgoKoNfrodPpYgI86S69IqMnvt9Qfn4+eJ5PWcbEcEWXoibK0knUJHmgnjqZ0tcpk0U3g3a73dBqteB5HlardUjlckPh8Xiwc+dOOBwOHDt2DDfeeCPq6+uxePFi6PX6lPwMQghJMQrUEBLNbrfjvvvuw7e//e10L4WkGGMMkiTB6XQmzNKRP3p6egAAOTk5SlZOdE8dOUuH5/m0jZ9Nh/gsnfjL+Cyd+JMXQRAQCATQ3d0NxphSxmI0GulkZpg6nm2G8ac/gKDOA+PUyIp44Vz2PZS89tiwbufIC2r85d+1yPmqRYEQAnT5DN9+L6Rs0/3BWWStvBNgDJIqCxqxB+6aO1G071llm5M71Gj+PkO4iwODCmp1BLpCLb53KgIu6g3wZE2AzWbzkDOnkpVeDVbyMtzSKzI6ovuMuN1uAFCCtMn6DWUqSZISBnSiPx/oOTH+80ztuTYaIpGIUtbW3d2NgoICWK3WlJW3MsZw8uRJOBwONDU1IRwOY9myZbDb7bj22msn1X1NCBm3kr4gZmbzAkIu05IlS9DW1tbv65s3b8aqVauUzzUaDR588MGxXh4ZAxzHQa1WK5kzc+fOTbqt/G5/a2trTJbO/v37lSwdl8sFURShUqlgtVoHzNLJy8sbVycgicgj4HU6nZJ1lIwgCMo7pE6nE8FgUOkDIfeWkE/YBzqRHk6WzmRi/fEStJ15HMbXfgW1FITzugcw5f99b9i30+9uZeh3WOB/bT+ypQjC2r6+XRHOANPxRgBfB2oMmosIddm++nYGQcxCnrcDDAXwdg6vCfDgax7e+N4hTb3C+Jp6Nd7En5Tn5+fDYrHgmmuuGVKj60ylUqmG3CQ5Orgo73s+ny/ma8kyxhKNkh6PgQa/36+UNImiOOLngnjhcBgfffQRGhoa8OGHH6K8vBx1dXXYtm0biouL6XWEEDJhUEYNmVReeuklpU9Kbm6ax7mQcUN+d7+jo0MJ6EQHdtrb29HW1oZAIADGGPLz82MydOQsHTlTh+d5qFSqcXlAKY/Nlken5+TkKFkzySZyJDqRHqjMIFkwZzyfvIwUkxg41eXtL92XOLx2pw7hboBTA2DAzf8ngpoHvi59at/4Nsy/2qAEatRiEJJah1z3R8o2Z35yGM0/K0cYekhMAy38UCGCa974OwyllmE1AU6X6OyIZH1MqPRqaOSsGTk4I2fQ8Tw/7rJmxlr0GOlkWTrR5ahy0/hkWTrpbJIsT+xzOp3o7OxEdnY2rFYreJ6HTqcb8e0zxuB2u9HU1ASHw4FTp07h5ptvht1ux6JFi1JWNkUIIWlCpU+EOBwO/OAHP8D7778Pq9Wa7uWQCUgeYd7d3R0TyIkvu3K73ZAkCRqNBjzPKxk60WVXcmAnJycnrSc8oijC6/XC4/HEjM2WSxhSHTSRx0cna46c6OSFyl0G5z3L4cjvNQj5gCtXiKhaIcX8f7jDj8Dc+5HX/Rk4MEicBp2PPospm+0A+h6Xz391CO89NRValR8cx0FkWnDg8I/uKVCp0xc8U+3dC9WuXYDBAOHBB4EUPL9T6VVikUgEHo8HLpcLPp8Per1e6TUznrNmMlmiJsnxn8uTAIHEPcZSvS+Gw2Ela8bv98NkMoHneZhMppRkpEmShBMnTihTmiRJwvLly7Fy5UpcffXVaQ/WOxwOrFu3DqIoYs2aNdiwYUPM/4dCITz00EM4dOgQLBYLXnnlFVRUVKRnsYSQTEeBGkKqqqoQCoVgsfQ1arjhhhuwZcuWNK+KTFZyLxin09kvSyf6IxgMAgAKCgpiplzFZ+lYLJaUjDDPxLHZiSTK0kk2aSg6Syc+Q0e+TPeBfyYIt/fA85O3IDk7oau/HlnfnKaUrgmCAGO+AV9+24MvP68G99XhweInLmDqxuTlhaNN/ec/Q/vjHwNf9QhhVitC77wDfPU8PxaGuy+Op9Ir+flA7jUjSVLMdJ6JEHyaSOQmyQMFdeInXw0W1AFi9wOXywUASiPgVJX8hkIhfPjhh2hsbMTevXtx5ZVXor6+HnV1dZgyZUrG7GuiKKK6uhrNzc2w2Wyora3Ftm3bMHPmTGWb3/72t/jkk0+wZcsWvPzyy9ixYwdeeeWVNK6aEJLBKFBDCCHjkZyl09XVlbTsqrW1FZ2dnWCMQavVwmq19htfHn2p0+liDnrPnDmDxsZG3HTTTQgGgxk5NnskorN0EjVHTlZikOhyomRGJDKUJsBMkND6X8cR+DIIyyIrTIuvSOuadbfeCq6zE5D3064uRP71XyE+9NCwb+vzJhX2/7sWQhCY8Q8i5j0qQJXimMl4KL2Se0vJWTPyfmCxWFJSykIygyRJAwZ0gsGgUpYqiiK0Wi3y8vKQn5+P3NzcfvvicAOMjDF0dHQoJU1nzpzBrbfeCrvdjoULF2bsa8++ffuwadMmNDU1AQCefbavj9eTTz6pbHP77bdj06ZNuPHGGyEIAoqKiuB0OifsawchZESomTAhJD22b9+OTZs24fjx4zhw4ADmz5+f7iWNK3KWjMlkgslkQk1NTdJtGWMIhUJKNo5cdnXs2DHs2bMHbW1taG9vRyAQQE9PDyKRCNRqNfR6PaZPn478/HzYbDYYDAbk5OQgKysLjLFxf3CpVquH1Aw0UYmB3Aw0/t1oOTNioKBOpmfpSJKErq7hNQHmNCqUPJJ8HxxrXDAIRJ8gShK4UCj5NyRxcb8KzY9lgVP19fE5+CsNOA0w//tCClc79Ma0yUqv/H5/ykuvGGMxDWDlrJnS0lLMmDEj4/djcnlUKhWys7NjAiLBYFBpDi9JEgoLC8HzPPLz8yEIQkwgR+5PFB9gVKvVyn7X0tICQRBQXFyMkpISFBcXw+v1YteuXWhuboZarcYdd9yBZ555BjU1NeNiX7t48SLKysqU6zabDfv370+6jUajgcFggNvtBs/zY7pWQsj4RoEaQsiomjVrFt544w2sXbs23UuZ8DiOQ3Z2NioqKvrVwx86dAjvvvsuWlpaAAB33HEHbrjhBpSVlcHr9SpZOidOnFCydLxeL4C+LJPorJz40qvCwsIJ0VhVLgXIysqCXq8fcNv4zIhQKKSMI46f7qLVageceDWWWTq9vb1K1kwgEIDBYIDFYkF5eXlGNwFORrjrLmj+8AdAkoBIBMjOhrhw4bBv50yjCpIA6Ax91xkDTu1QpzxQM1SjPfVKq9UqgaBgMIicnBzwPI+ZM2dSo/1JhDEGn88Hp9MJt9sNjUYDq9WKadOm9dsPtFrtsAOMRUVFSq+ZCxcuoLOzE06nE3q9HgaDAVarFceOHYPb7Y4p5a2pqUFpaelo/uqXLVElQvzz91C2IYSQwVCghhAyqmbMmJHuJRAAf/3rXzFt2jT88z//87CaaTPGEAwGY5oit7a24pNPPkFzczNaW1vR0dGhZJqYzeZ+E6/kMebFxcVKpsZ4P2gdTmZE9DvR0UEd+WvRPSMGmnh1OVk6oijC4/HA7XbD6/VCp9PBYrGgqqoq6ZSu8UR44gkgOxvqd98FMxgg/Mu/gF111bBvJyu/LzgjYwKgHThWlzGiA4zJyFkzHR0dcLlcCAQCyMvLg8FggMlkQiQSQVdXFzo6OtJeekVGV3xpW0FBAXieR0VFxYh7kHEcB7Vaje7ubjQ2NsLhcODcuXP4xje+gUceeQQLFixQ9lPGGDo7O5WpiXLG59///neIopixgRqbzYbz588r1y9cuICSkpKE29hsNgiCgK6uLpjN5rFeKiFknKMeNYSQMbFw4UL87Gc/o9KnCYoxBkmS4Ha7laBOfHCnvb0dPp8PAKDT6WL65kT30ykuLobVap3Q/WASie4ZkayPSXyWTqLx5fJJt8fjgSAIMJlMsFgsMJlM46K0IB16WoFX7dno9QBggEYH1P1XGLabpEG/N1MJghATpMvNzVV6zQzW/2OwqVfx46OTjY1ORW8n7swZqLdtA0QR4l13gc2adVm3M5kFAgGlpEkURZjNZlit1pSNUZckCX/729/Q2NiI5uZmZGdnY8WKFbDb7ZgxY8aEeh4XBAHV1dVoaWlBaWkpamtrsXXr1piy5N/85jf49NNPlWbCb7zxBl599dU0rpoQksGomTAhZPQsWbIEbW1t/b6+efNmrFq1CgAFasjXGGMIBAIJgznyO6tOpxOCICh9U+JLrqKzdfR6/YTI0hmq+Cwdv98Pr9erZOmoVCqoVCqo1Wqo1eqkk64yccpQOvW0ASff0EAIAlOXiiicPb4OgeS/K7nXjCAISlNwo9E4akG6waZeDSVrLNn+yJ06Bd2KFUBPDzjGgJwchLZvh1RbOyq/y0QhSRK8Xi9cLhc8Hg90Oh2sVit4nk9Zk95AIIA9e/bA4XBg//79qKmpgd1uxx133KFM15yoGhoasH79eoiiiNWrV2Pjxo146qmnMH/+fKxcuRLBYBDf+c53cPjwYZjNZrz88suorKxM97IJIZmJAjWEkPSiQA0ZLjlLx+l0JszSkT96enoAADk5OQn76MgBHZ7noVarx31AJ1kTYIvF0u8d8vjJLokuo0tdBjqJ1mq14/6+m2jk0jaXy6VkzVgslpSekKfScPZHtVqNaf/xH+B37gTLzgbHcVCFQgjfcAN6X3kFWq2WMsSiyFPbnE4n/H4/jEajMrUtFcFYxhguXbqExsZGNDY2oq2tDbfddhvsdjtuueWWcdnjihBCMgBNfSKEEDK+yP0O5CaTc+fOTbotYww9PT1obW2NGV++f/9+pezK5XJBFEWoVCpYrVal3ErunyNfLyoqQl5eXkYFJS63CXCiyS6JyFk68SfNfr9fKcWKzooYqDkyZemMHjlrRu4xEg6Hlb5Q06ZNy/jAxXD2R1EUkaVWQ6VSQfrqb1HiOIQ7O3Hs2LExK73KVHLfIafTCZfLBQDgeR5Tp05VsgxHShRF/PWvf0VjYyNaWlqQn5+Puro6/OIXv0B1dfWEu08JISSTUEYNIWRU7dixA4899hicTieMRiPmzJmDpqamdC+LTFLyCWBHR4cS0Glra4v5vK2tDYFAAIwx6PX6pFk6RUVF4HkeKpUq5ScsyZoAWyyWtDcBlrMi4vvpRF8fqCEtZekMjyiK6OzshMvlQmdnpzKhyWKxDNrMerxTORzQPfJI31QvAOA4hJ95BuI//qOyzWiWXmWa+H0hLy8PPM+D5/kBm0kPR09PD3bv3o3GxkYcOnQIc+bMQV1dHZYvXw6TyZSSn0EIIURBpU+EEELIUMmvjT6fb8CyK7fbDUmSoFarYbVakwZ0ioqKkJOTkzQoIUkSTp06hezsbLjd7gnRBDi6IW2iYI58HYidXJSsn04mn0CnWnSvmXA4DJPJBJ7nx+2+MBLq116D5vnnAUGAsGYNxDVrgMsM7g239GqwUsCxeCyCwaCyLwSDQZhMJlit1pT1HWKM4fz582hoaEBTUxNcLhcWLVoEu92Om266acSToFLB4/Hgvvvuw9mzZ1FRUYFXX301YdBIrVZj9uzZAIArrrgCb7311lgvlRBChosCNYQQMlk4HA6sW7cOoihizZo12LBhQ7qXNKExxhAOh+F0OpXMnPgMnba2NgSDQQBAQUEBCgsLYTAY4Pf70draii+//BKzZs3CT37yE5SXlyP7q54ck0V8lk6iS1EUAfQ/gZ4IY6OjMyXkDCo5U2KiZ81kovipV8kydUaj9IoxBp/PB5fLBbfbDbVarewLeXl5Kfn9BEHAwYMH0djYiD179sBkMqGurg52ux2VlZUZ9/fzxBNPwGw2Y8OGDfjpT3+Kzs5OPPfcc/220+v1Ss8yQggZJyhQQwghk4EoiqiurkZzczNsNhtqa2uxbds2zJw5M91Lm/TC4TD27duHt99+G7t27YIkSaiurkZ5eTlEUYTT6URbWxs8Hg8YY9BqtbBarf3Gl0dn60y2gM5gY6PlXjrRJ9DJMnTSnaXT29urZEqEQiEla8ZoNE6q7KHxLhWlV2q1GoFAAF1dXeju7kZ+fj6sVivMZnPKmvT6fD60tLSgsbERR44cwbXXXgu73Y5ly5bBYDCk5GeMlmnTpuG9995DcXExWltbsXDhQpw8ebLfdhSoIYSMQxSoIYSQyWDfvn3YtGmT0gfo2WefBQA8+eST6VwWAfCtb30L+fn5uP3227Fo0SIYjcak2zLGEAqF0N7erpRbxWfptLe3IxQKAQCMRmPCYI583WQyTaoR5kBfls5AJ9ChUChplk6iy5Hed5IkxfQXkbNm5L5DZOKLLr3q7u6Gx+OBz+eDIAhKKZW8n4209Ioxhi+++AKNjY1wOBzw+XxYsmQJ6uvrccMNN4yrYKDRaITX61Wum0wmdHZ29ttOo9Fgzpw50Gg02LBhA+68886xXCYhhFwOmvpECCGTwcWLF1FWVqZct9ls2L9/fxpXRGRbt24d8rYcxyE7Oxvl5eUoLy9Puh1jDIwxdHZ29iu7Onr0qBLokU9ytFptTEZOfFCnsLBwXJYOJaJSqZTMmcEkmnjl9XpjJl7FZ+kku4zu6RGfNSOPTK6qqhpXJ8pk5CRJQldXl1LSJAfqrrrqqn7lbclKr+R9Mrr06umnn0YwGITVagXP89Bqtbh06RJOnTqFKVOmYOXKlXjhhRdQUVGR0X/XS5YsQVtbW7+vb968eci3ce7cOZSUlODMmTNYtGgRZs+ejSuvvDKVyySEkDFDgRpCCJlAEmVJZvLBORkZOUtGngglN9JMhDGGYDAY0xS5tbUVn3zyCZqbm9Ha2oqOjg5EIhFwHAeTyRQTzJkyZYoyxry4uBgFBQUTJktHo9FAo9EMmtki9yOKDur09vbC6/XGNEoWRRGiKEKtViM3N1fpSyT3LxEEARzHTbrGwJNNJBJRAnU9PT0wGAywWq2orKwcMFDHcZyyTw7Wl+ZPf/oT3nzzTbz//vs4efIkpkyZAp7nUVlZCY/Hg6amJrz88ssA+oKMcmD2nnvuwdKlS1P6+47Erl27kv7flClT0NraqpQ+FRYWJtyupKQEAFBZWYmFCxfi8OHDFKghhIxbFKghhJAJxGaz4fz588r1CxcuKAevZHLjOA45OTmorKxEZWVl0u0YY5AkCR6Pp1+WzpEjR5TSK5/PBwDQ6XSDZukMp5lqJpN7jOh0OuTn5wOIncojCIJSzmQwGGIydUKhELq6ugZtRhvfkFbuYTIR7r+JjjEGv9+v7A+SJIHneZSXlyM/Pz8ljyFjDJ999hkaGxvR1NSEQCCApUuX4vHHH8e8efMGDACFQiF0dHSgra0NFotlxGsZKytXrsRLL72EDRs24KWXXsKqVav6bdPZ2Ync3FzodDq4XC7s3bsXTzzxRBpWSwghqUE9agghZAIRBAHV1dVoaWlBaWkpamtrsXXrVtTU1KR7aWQCYowhEAj0G18ePcbc6XQqGSQWiyXhCHM5W0ev12d8lo4kSfB6vXC5XPB4PMjKyoLFYgHP88jNzR322qOb0SbrpyMIAoDYcq5kwR3K0hlbcu8hp9MJr9eLnJwcZUrTUMruhiISiWDfvn1oaGjABx98AJvNpkxpKi0tzei/l1Rwu9249957ce7cOVxxxRXYvn07zGYzDh48iC1btuCFF17ARx99hLVr10KlUkGSJKxfvx4PP/xwupdOCCGDoWbChBAyWTQ0NGD9+vUQRRGrV6/Gxo0b070kMsnJWTpOpzMmqBMd0Glra1MmtuTk5CTM0JEDOjzPj2mWiZw143a7EQgElF4zZrN5THvNiKIYk6GTKKiTbGR0/OVEyXJKh1AopGTN9Pb2KhO7TCZTSgJlct+ppqYmOBwOnDhxAjfeeCPsdjsWL15MzacJIWTioEANIYQQQjIfYww9PT1obW2NmXQVHdRxuVwQRREqlQo8zw+YpZOXlzfsgER041ePxwONRqNkSVxO1sxYG2hkdLIsnYGCOpM9S4cxhu7ubiU4I+93Vqs1ZfuDJEk4efIkHA4HmpqaIAgCli1bBrvdjrlz5076x4AQQiYoCtQQQgghY2H16tV45513UFhYiKNHj6Z7OROWPBmno6MjJjsnfox5IBAAYwx6vT5plk5RURH8fj/eeust7Nq1C/feey/mz5+vZM1ET3KaaKKzdJJl68jHilqtdtCJV5kexBoqURTh8XjgdDrR1dUFvV4Pq9UKi8UCrVabkp8RCoWwd+9eNDY24n/+539QUVGB+vp61NfXo6ioaMLcl4QQQpKiQA0hhBAyFj744APo9Xo89NBDFKjJAPJxjs/niym5unDhAg4fPoyjR4/i3LlzMBqNKC0thUqlQl5eXkxQJzqgU1RUhJycnEl3Ei1n6QwU1InO0kkWzMnkLJ3ocerhcBhmsxk8z8NgMKSspMnlciklTadPn8Ytt9wCu92ORYsWITs7OwW/BSGEkHGEAjWEEELIWDl79izq6+spUJOBjh07hqeffhonTpzA9ddfjxUrVmDx4sXIz89Xxm87nc5+E6/kj/b2dvT29gKAMnZbDuTIo8vloI7ZbIZKpZp0QR05SydZhk44HIYkSQD6snSSBXNGO0uHMYauri44nU54PB5otVqlpCknJyclP0OSJBw/fhwNDQ3YuXMnAGD58uVYuXIlZs+enTEBq+3bt2PTpk04fvw4Dhw4gPnz5yfczuFwYN26dRBFEWvWrMGGDRvGeKWEEDKhUKCGEEIIGSsUqMlcHR0daG9vx6xZsy47AMAYU07yB2qO7PF4wBiDVquF1WpN2hy5sLAQ2dnZky6gwxiDIAgDNkeORCIAvs7SSRTMkS+HEvSIRCJwu91wuVzo7u5GQUEBrFZrSkvcgsEgPvzwQzQ0NGDfvn246qqrUFdXh7q6OhQWFmbk43z8+HGoVCqsXbsWP/vZzxIGakRRRHV1NZqbm2Gz2VBbW4tt27Zh5syZaVgxIYRMCElfECZu0TUhhBBCSJzCwkIUFhaO6DbkEeImkwkmk2nAE1XGGEKhENrb22P66Bw/fhx79uxRsnRCoRAAwGg0xmTpRJdcTZkyBSaTKeNHmA8Vx3HQarXQarXQ6/UDbitJUr8gTnd3N9xut3I9WZYOAAQCAXR3d4MxBp7nccUVVyA/Pz8l9yNjDB0dHXA4HHA4HDh79ixuvfVW3H333fjlL3+ZsjHdo2nGjBmDbnPgwAFUVVWhsrISAHD//ffjzTffpEANIYSMAgrUEEIIIYSMEo7jkJ2djfLycpSXlyfdTs7S6ezs7Fd2dfToUSXQ4/V6AfQFI+KnXEUHdQoLC5GVlTUhAjpAX0ZNTk7OoCVJcvma3Gumvb0darUa2dnZyM7OhiAIyv9xHDdghk5WVlbS8euSJOHTTz+Fw+HAzp07odFosGLFCmzevBkzZ87MmJKmVLp48SLKysqU6zabDfv370/jigghZOKiQA0hhBBCSJrJWTIWiwUWiwWzZ89Oui1jDMFgUAnmtLe349KlS/j000/R3NysZOnIZUNmszlhlo58aTAYxn2WTnRwxu/3w2QyobS0FLNmzRow2BJfbtXd3R3TX+f555/HsWPHkJ+fD57nkZ2dDbfbjS+//BKVlZVYvnw5XnzxRVRVVSX9OZliyZIlaGtr6/f1zZs3Y9WqVYN+f6J2CeN5nyGEkExGgRpCCCEkhR544AG89957cLlcsNlsePrpp/Hwww+ne1lkAuE4Djk5OZg6dSqmTp2adDvGGCRJgsfj6Zelc+TIEaWXjs/nAwDodLpBs3QyZQQ3Yww9PT1KcAYAeJ5HZWUl8vLyhrRGlUqlZNok+xk///nP0dDQAIfDAY/Hg5KSEsyaNQsmkwkulwsnTpzAY489BrfbDcYYNBoNpkyZgsWLF2P9+vUp/Z1HateuXSP6fpvNhvPnzyvXL1y4gJKSkpEuixBCSALUTJgQQgghZJJjjCEQCPRrjBzdINnpdEIQBCXzJ1FzZLlBsl6vT3mWjiiK8Hg8cLlc8Hq9yMvLg9VqhcViUXrRjJQkSThy5AgaGhrQ0tKCnJwcrFixAna7HdOnTx/094lEIujo6EA4HB4wiJapFi5cmLSZsCAIqK6uRktLC0pLS1FbW4utW7eipqYmDSslhJAJgaY+EUIIIYSQkZGzdJxOZ8KgjtxLp6enBwCQk5MzYJaO1WqFWq1OGgD5/PPPIQgCAoEAQqEQzGYzeJ6H0WhMWR8Yv9+PPXv2wOFw4OOPP8bs2bNRV1eHO+64A2azOSU/I9Pt2LEDjz32GJxOJ4xGI+bMmYOmpiZcunQJa9asQUNDAwCgoaEB69evhyiKWL16NTZu3JjmlRNCyLhGgRpCCCGETB7nz5/HQw89hLa2NqhUKjzyyCNYt25dupc1qcjlSQNl6bhcLoiiCJVKBZ7nUVhYCMYYvF4vTp8+jdzcXPzoRz/CggULYLFYUjal6eLFi0pJU0dHB2677TbY7XbcfPPN0Gq1KfjtCSGEkEFRoIYQQgghk4ccGLj22mvR3d2NefPm4c9//jONEs5AXV1daGpqwuuvv45Dhw6hoqIC06ZNg8lkgsfjUYI6gUAAjDHo9fqEGTryJc/zUKlUMUEdURRx6NAhNDY2Yvfu3SgoKEBdXR3sdjuqqqoyou8OIYSQSYcCNYQQQgiZvFatWoVHH30US5cuTfdSSJQvv/wS9913H5YtW4b6+nrMnz8/aUmTfMzq8/lisnSiM3Ta2trgdrshSRLUajV4nselS5fAGMPcuXNRX1+P22+/HUajcSx/TUIIISQRCtQQQgghZHI6ToclDwAAA5pJREFUe/YsFixYgKNHj6KgoCDdyyFjgDGmNPY9dOgQ6urqoNHQsFNCCCEZJWmgJjVd2AghhBBCMlBPTw/uvvtu/OIXv6AgzSTCcRyysrJgs9mwatWqtAdptm/fjpqaGqhUKhw8eDDpdhUVFZg9ezbmzJmTcPISIYSQyYHeWiCEEELIhBSJRHD33XfjwQcfxF133ZXu5ZBJbNasWXjjjTewdu3aQbfds2cPeJ4fg1URQgjJVBSoIYQQQsiEwxjDww8/jBkzZuAHP/hBupdDJrkZM2akewmEEELGESp9IoQQQsiEs3fvXvzxj3/E7t27MWfOHMyZMwcNDQ3pXhYhA+I4DsuWLcO8efPw+9//Pt3LIYQQkiaUUUMIIYSQCeeWW27BIAMTCEmpJUuWoK2trd/XN2/ejFWrVg3pNvbu3YuSkhJ0dHRg6dKlmD59OhYsWJDqpRJCCMlwFKghhBBCCCGjKhgMYsGCBQiFQhAEAffccw+efvrpdC8rpXbt2jXi2ygpKQEAFBYW4pvf/CYOHDhAgRpCCJmEqPSJEEIIIYSMKp1Oh927d+Nvf/sbjhw5AofDgb/85S/pXlZG8fv96O7uVj7fuXMnZs2aleZVEUIISQcK1BBCCCGEkFHFcRz0ej2AvmlckUgEHMeleVVjZ8eOHbDZbNi3bx/q6upw++23AwAuXbqEFStWAADa29txyy234JprrsF1112Huro6LF++PJ3LJoQQkibcIPXbVNxNCCGEEEJGTBRFzJs3D5999hm+//3v47nnnkv3kgghhJB0SvqOBWXUEEIIIYSQUadWq3HkyBFcuHABBw4cwNGjR9O9JEIIISQjUaCGEEIIIYSMGaPRiIULF8LhcKR7KYQQQkhGokANIYQQQggZVU6nE16vFwDQ29uLXbt2Yfr06WleFSGEEJKZaDw3IYQQQggZVa2trfjud78LURQhSRLuvfde1NfXp3tZhBBCSEaiZsKEEEIIIYQQQgghY4uaCRNCCCGEEEIIIYRkOgrUEEIIIYQQQgghhGQICtQQQgghhBBCCCGEZAgK1BBCCCGEEEIIIYRkCArUEEIIIYQQQgghhGSIwcZzJ+1CTAghhBBCCCGEEEJSizJqCCGEEEIIIYQQQjIEBWoIIYQQQgghhBBCMgQFagghhBBCCCGEEEIyBAVqCCGEEEIIIYQQQjIEBWoIIYQQQgghhBBCMgQFagghhBBCCCGEEEIyxP8HPyctxpVy+fsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=[20,6])\n",
    "# 创建3d图形的两种方式\n",
    "# ax = Axes3D(fig)\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "ax.scatter(x[:,0],x[:,1],x[:,2],c=y,cmap=\"rainbow\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 可见数据线性不可分，所以采用高斯核"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-29T03:07:47.459405Z",
     "start_time": "2019-12-29T03:07:47.454417Z"
    }
   },
   "outputs": [],
   "source": [
    "y[y == 1] = -1\n",
    "y[y == 2] = 1\n",
    "y = y.reshape(-1, 1)\n",
    "train_test_ratio = 0.6 # 划分训练集验证集合\n",
    "\n",
    "N_TRAIN = round(N_SAMPLES*train_test_ratio)\n",
    "x_train = x[:N_TRAIN]\n",
    "y_train = y[:N_TRAIN]\n",
    "\n",
    "x_test = x[-N_TRAIN:]\n",
    "y_test = y[-N_TRAIN:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-29T03:07:47.489352Z",
     "start_time": "2019-12-29T03:07:47.460401Z"
    }
   },
   "outputs": [],
   "source": [
    "def pairwise_mse(u: torch.Tensor, v: torch.Tensor):\n",
    "    ru = (u*u).sum(-1, keepdims=True)\n",
    "    rv = (v*v).sum(-1, keepdims=True)\n",
    "    return ru-2*u.mm(v.t())+rv.t()\n",
    "\n",
    "def Linear_kernal(u, v):\n",
    "    return u.mm(v.t())\n",
    "\n",
    "def Gaussian_kernal(u, v):\n",
    "    # sigma = 50.0\n",
    "    gamma = -10\n",
    "    return torch.exp(gamma*pairwise_mse(u, v))\n",
    "\n",
    "kernel = Gaussian_kernal\n",
    "\n",
    "a = torch.rand(size=[N_TRAIN, 1], requires_grad=True)  # SVM paramter ai\n",
    "\n",
    "def SVM_dul_loss(x, y):\n",
    "    aij = a.mm(a.t())\n",
    "    yij = y.mm(y.t())\n",
    "    xij = kernel(x, x)\n",
    "    assert aij.size() == yij.size() == xij.size()\n",
    "    loss = a.sum()-(0.5*aij*yij*xij).sum()\n",
    "    return - loss\n",
    "\n",
    "# def SVM_dul_loss(x, y, lambda_=0.5):\n",
    "#     aij = a.mm(a.t())\n",
    "#     yij = y.mm(y.t())\n",
    "#     xij = kernel(x, x)\n",
    "#     assert aij.size() == yij.size() == xij.size()\n",
    "#     loss = (lambda_ / 2 * aij * xij).sum() + \\\n",
    "#         (1-xij.mm(a)*y).clamp(min=0).mean()\n",
    "#     return loss\n",
    "\n",
    "def SVM_dul_predict(x_ture, y_true, x_pred):\n",
    "    xij = kernel(x_ture, x_pred)\n",
    "    yai = a*y_true\n",
    "    y_pred = yai.t().mm(xij)\n",
    "    y_pred = torch.sign(y_pred-y_pred.mean())\n",
    "    return y_pred.view(-1, 1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-29T03:08:02.523902Z",
     "start_time": "2019-12-29T03:07:47.491335Z"
    }
   },
   "outputs": [],
   "source": [
    "opt = torch.optim.SGD([a], lr=0.002)\n",
    "x_train = torch.tensor(x_train, dtype=torch.float32)\n",
    "y_train = torch.tensor(y_train, dtype=torch.float32)\n",
    "x_test = torch.tensor(x_test, dtype=torch.float32)\n",
    "y_test = torch.tensor(y_test, dtype=torch.float32)\n",
    "loss_history = []\n",
    "train_acc = []\n",
    "val_acc = []\n",
    "for epoch in range(10000):\n",
    "    loss = SVM_dul_loss(x_train, y_train)\n",
    "    loss.backward()\n",
    "    opt.step()\n",
    "    opt.zero_grad()\n",
    "    with torch.no_grad():\n",
    "        loss_history.append(loss.item())\n",
    "        y_pred = SVM_dul_predict(x_train, y_train, x_train)\n",
    "        acc = (y_train == y_pred).float().mean()\n",
    "        train_acc.append(acc)\n",
    "        # print(acc)\n",
    "        # print(a[0])\n",
    "        if epoch % 100 == 0:\n",
    "            y_pred = SVM_dul_predict(x_train, y_train, x_test)\n",
    "            acc = (y_test == y_pred).float().mean()\n",
    "            val_acc.append(acc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-29T03:08:02.922851Z",
     "start_time": "2019-12-29T03:08:02.524899Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "acc tensor(0.7391)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with torch.no_grad():\n",
    "    y_pred = SVM_dul_predict(x_train, y_train, x_test)\n",
    "    acc = (y_test == y_pred).float().mean()\n",
    "    print(\"acc\", acc)\n",
    "    # Plot batch accuracy\n",
    "    fig = plt.figure(figsize=[20,5])\n",
    "    ax = fig.add_subplot(131)\n",
    "    ax.plot(train_acc, 'k-', label='Accuracy')\n",
    "    ax.set_title('training Accuracy')\n",
    "    ax.set_xlabel('Generation')\n",
    "    ax.set_ylabel('Accuracy')\n",
    "    ax.legend(loc='lower right')\n",
    "    \n",
    "    # Plot loss over time\n",
    "    ax = fig.add_subplot(132)\n",
    "    ax.plot(loss_history, 'k-')\n",
    "    ax.set_title('Loss per Generation')\n",
    "    ax.set_xlabel('Generation')\n",
    "    ax.set_ylabel('Loss')\n",
    "\n",
    "    ax = fig.add_subplot(133)\n",
    "    ax.plot(val_acc, 'k-', label='Accuracy')\n",
    "    ax.set_title('validation Accuracy')\n",
    "    ax.set_xlabel('Generation')\n",
    "    ax.set_ylabel('Accuracy')\n",
    "    ax.legend(loc='lower right')\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "tensorflow",
   "language": "python",
   "name": "tensorflow"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
